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Finding the Fourth Proportional to 19,424.78, 29,132.83 and 7,578.87

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Solution

The fourth proportional to 19,424.78, 29,132.83 and 7,578.87 is: 11,366.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,424.78 : 29,132.83 = 7,578.87 : x
  2. Step 2: Convert to fraction form
    19,424.78/29,132.83 = 7,578.87/x
  3. Step 3: Cross multiply
    19,424.78x = 29,132.83 × 7,578.87
  4. Step 4: Simplify right side
    19,424.78x = 220,793,831.53
  5. Step 5: Solve for x
    x = 220,793,831.53/19,424.78
  6. Step 6: Final answer
    x = 11,366.61

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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.