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Finding the Fourth Proportional to 22,884.80, 34,352.80 and 12,491.20

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Solution

The fourth proportional to 22,884.80, 34,352.80 and 12,491.20 is: 18,750.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,884.80 : 34,352.80 = 12,491.20 : x
  2. Step 2: Convert to fraction form
    22,884.80/34,352.80 = 12,491.20/x
  3. Step 3: Cross multiply
    22,884.80x = 34,352.80 × 12,491.20
  4. Step 4: Simplify right side
    22,884.80x = 429,107,695.36
  5. Step 5: Solve for x
    x = 429,107,695.36/22,884.80
  6. Step 6: Final answer
    x = 18,750.77

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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.