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Finding the Fourth Proportional to 12,367.68, 18,545.76 and 7,175.04

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Solution

The fourth proportional to 12,367.68, 18,545.76 and 7,175.04 is: 10,759.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,367.68 : 18,545.76 = 7,175.04 : x
  2. Step 2: Convert to fraction form
    12,367.68/18,545.76 = 7,175.04/x
  3. Step 3: Cross multiply
    12,367.68x = 18,545.76 × 7,175.04
  4. Step 4: Simplify right side
    12,367.68x = 133,066,569.83
  5. Step 5: Solve for x
    x = 133,066,569.83/12,367.68
  6. Step 6: Final answer
    x = 10,759.22

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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.