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Finding the Fourth Proportional to 7,753.77, 11,630.66 and 6,380.22

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Solution

The fourth proportional to 7,753.77, 11,630.66 and 6,380.22 is: 9,570.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,753.77 : 11,630.66 = 6,380.22 : x
  2. Step 2: Convert to fraction form
    7,753.77/11,630.66 = 6,380.22/x
  3. Step 3: Cross multiply
    7,753.77x = 11,630.66 × 6,380.22
  4. Step 4: Simplify right side
    7,753.77x = 74,206,169.55
  5. Step 5: Solve for x
    x = 74,206,169.55/7,753.77
  6. Step 6: Final answer
    x = 9,570.33

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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 (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.