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Finding the Fourth Proportional to 9,141, 13,716.95 and 8,397.42

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Solution

The fourth proportional to 9,141, 13,716.95 and 8,397.42 is: 12,601.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,141 : 13,716.95 = 8,397.42 : x
  2. Step 2: Convert to fraction form
    9,141/13,716.95 = 8,397.42/x
  3. Step 3: Cross multiply
    9,141x = 13,716.95 × 8,397.42
  4. Step 4: Simplify right side
    9,141x = 115,186,990.27
  5. Step 5: Solve for x
    x = 115,186,990.27/9,141
  6. Step 6: Final answer
    x = 12,601.14

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Why These Related Problems?

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