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Finding the Fourth Proportional to 10,727.47, 14,788.40 and 7,531.04

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Solution

The fourth proportional to 10,727.47, 14,788.40 and 7,531.04 is: 10,381.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,727.47 : 14,788.40 = 7,531.04 : x
  2. Step 2: Convert to fraction form
    10,727.47/14,788.40 = 7,531.04/x
  3. Step 3: Cross multiply
    10,727.47x = 14,788.40 × 7,531.04
  4. Step 4: Simplify right side
    10,727.47x = 111,371,957.99
  5. Step 5: Solve for x
    x = 111,371,957.99/10,727.47
  6. Step 6: Final answer
    x = 10,381.94

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