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Finding the Fourth Proportional to 8,294.13, 12,468.54 and 7,685.42

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Solution

The fourth proportional to 8,294.13, 12,468.54 and 7,685.42 is: 11,553.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,294.13 : 12,468.54 = 7,685.42 : x
  2. Step 2: Convert to fraction form
    8,294.13/12,468.54 = 7,685.42/x
  3. Step 3: Cross multiply
    8,294.13x = 12,468.54 × 7,685.42
  4. Step 4: Simplify right side
    8,294.13x = 95,825,904.34
  5. Step 5: Solve for x
    x = 95,825,904.34/8,294.13
  6. Step 6: Final answer
    x = 11,553.46

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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.