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Finding the Fourth Proportional to 10,681.52, 14,733.08 and 9,800.24

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Solution

The fourth proportional to 10,681.52, 14,733.08 and 9,800.24 is: 13,517.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,681.52 : 14,733.08 = 9,800.24 : x
  2. Step 2: Convert to fraction form
    10,681.52/14,733.08 = 9,800.24/x
  3. Step 3: Cross multiply
    10,681.52x = 14,733.08 × 9,800.24
  4. Step 4: Simplify right side
    10,681.52x = 144,387,719.94
  5. Step 5: Solve for x
    x = 144,387,719.94/10,681.52
  6. Step 6: Final answer
    x = 13,517.53

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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.