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Finding the Fourth Proportional to 12,778.64, 17,631.84 and 7,472.42

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Solution

The fourth proportional to 12,778.64, 17,631.84 and 7,472.42 is: 10,310.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,778.64 : 17,631.84 = 7,472.42 : x
  2. Step 2: Convert to fraction form
    12,778.64/17,631.84 = 7,472.42/x
  3. Step 3: Cross multiply
    12,778.64x = 17,631.84 × 7,472.42
  4. Step 4: Simplify right side
    12,778.64x = 131,752,513.85
  5. Step 5: Solve for x
    x = 131,752,513.85/12,778.64
  6. Step 6: Final answer
    x = 10,310.37

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.