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Finding the Fourth Proportional to 10,615.77, 14,653.85 and 7,077.69

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Solution

The fourth proportional to 10,615.77, 14,653.85 and 7,077.69 is: 9,769.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,615.77 : 14,653.85 = 7,077.69 : x
  2. Step 2: Convert to fraction form
    10,615.77/14,653.85 = 7,077.69/x
  3. Step 3: Cross multiply
    10,615.77x = 14,653.85 × 7,077.69
  4. Step 4: Simplify right side
    10,615.77x = 103,715,372.22
  5. Step 5: Solve for x
    x = 103,715,372.22/10,615.77
  6. Step 6: Final answer
    x = 9,769.93

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Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.