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Finding the Fourth Proportional to 12,565.46, 18,838.46 and 7,292.36

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Solution

The fourth proportional to 12,565.46, 18,838.46 and 7,292.36 is: 10,932.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,565.46 : 18,838.46 = 7,292.36 : x
  2. Step 2: Convert to fraction form
    12,565.46/18,838.46 = 7,292.36/x
  3. Step 3: Cross multiply
    12,565.46x = 18,838.46 × 7,292.36
  4. Step 4: Simplify right side
    12,565.46x = 137,376,832.17
  5. Step 5: Solve for x
    x = 137,376,832.17/12,565.46
  6. Step 6: Final answer
    x = 10,932.89

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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.