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Finding the Fourth Proportional to 10,682.74, 14,747.16 and 7,148.26

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Solution

The fourth proportional to 10,682.74, 14,747.16 and 7,148.26 is: 9,867.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,682.74 : 14,747.16 = 7,148.26 : x
  2. Step 2: Convert to fraction form
    10,682.74/14,747.16 = 7,148.26/x
  3. Step 3: Cross multiply
    10,682.74x = 14,747.16 × 7,148.26
  4. Step 4: Simplify right side
    10,682.74x = 105,416,533.94
  5. Step 5: Solve for x
    x = 105,416,533.94/10,682.74
  6. Step 6: Final answer
    x = 9,867.93

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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.