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Finding the Fourth Proportional to 9,159.48, 13,717.85 and 6,688.17

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Solution

The fourth proportional to 9,159.48, 13,717.85 and 6,688.17 is: 10,016.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,159.48 : 13,717.85 = 6,688.17 : x
  2. Step 2: Convert to fraction form
    9,159.48/13,717.85 = 6,688.17/x
  3. Step 3: Cross multiply
    9,159.48x = 13,717.85 × 6,688.17
  4. Step 4: Simplify right side
    9,159.48x = 91,747,210.80
  5. Step 5: Solve for x
    x = 91,747,210.80/9,159.48
  6. Step 6: Final answer
    x = 10,016.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.