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Finding the Fourth Proportional to 9,938.97, 13,715.91 and 5,463.14

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Solution

The fourth proportional to 9,938.97, 13,715.91 and 5,463.14 is: 7,539.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,938.97 : 13,715.91 = 5,463.14 : x
  2. Step 2: Convert to fraction form
    9,938.97/13,715.91 = 5,463.14/x
  3. Step 3: Cross multiply
    9,938.97x = 13,715.91 × 5,463.14
  4. Step 4: Simplify right side
    9,938.97x = 74,931,867.98
  5. Step 5: Solve for x
    x = 74,931,867.98/9,938.97
  6. Step 6: Final answer
    x = 7,539.20

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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.