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Finding the Fourth Proportional to 13,452.30, 20,178.45 and 9,737.10

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Solution

The fourth proportional to 13,452.30, 20,178.45 and 9,737.10 is: 14,605.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,452.30 : 20,178.45 = 9,737.10 : x
  2. Step 2: Convert to fraction form
    13,452.30/20,178.45 = 9,737.10/x
  3. Step 3: Cross multiply
    13,452.30x = 20,178.45 × 9,737.10
  4. Step 4: Simplify right side
    13,452.30x = 196,479,585.50
  5. Step 5: Solve for x
    x = 196,479,585.50/13,452.30
  6. Step 6: Final answer
    x = 14,605.65

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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.