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Finding the Fourth Proportional to 10,711.68, 14,755.68 and 9,312

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Solution

The fourth proportional to 10,711.68, 14,755.68 and 9,312 is: 12,827.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,711.68 : 14,755.68 = 9,312 : x
  2. Step 2: Convert to fraction form
    10,711.68/14,755.68 = 9,312/x
  3. Step 3: Cross multiply
    10,711.68x = 14,755.68 × 9,312
  4. Step 4: Simplify right side
    10,711.68x = 137,404,892.16
  5. Step 5: Solve for x
    x = 137,404,892.16/10,711.68
  6. Step 6: Final answer
    x = 12,827.58

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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.