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Finding the Fourth Proportional to 12,472.10, 18,724.44 and 8,338.64

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Solution

The fourth proportional to 12,472.10, 18,724.44 and 8,338.64 is: 12,518.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,472.10 : 18,724.44 = 8,338.64 : x
  2. Step 2: Convert to fraction form
    12,472.10/18,724.44 = 8,338.64/x
  3. Step 3: Cross multiply
    12,472.10x = 18,724.44 × 8,338.64
  4. Step 4: Simplify right side
    12,472.10x = 156,136,364.36
  5. Step 5: Solve for x
    x = 156,136,364.36/12,472.10
  6. Step 6: Final answer
    x = 12,518.85

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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.