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Finding the Fourth Proportional to 8,651.43, 12,981.24 and 5,148.36

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Solution

The fourth proportional to 8,651.43, 12,981.24 and 5,148.36 is: 7,724.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,651.43 : 12,981.24 = 5,148.36 : x
  2. Step 2: Convert to fraction form
    8,651.43/12,981.24 = 5,148.36/x
  3. Step 3: Cross multiply
    8,651.43x = 12,981.24 × 5,148.36
  4. Step 4: Simplify right side
    8,651.43x = 66,832,096.77
  5. Step 5: Solve for x
    x = 66,832,096.77/8,651.43
  6. Step 6: Final answer
    x = 7,724.98

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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.