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Finding the Fourth Proportional to 3,337.64, 5,006.56 and 872.42

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Solution

The fourth proportional to 3,337.64, 5,006.56 and 872.42 is: 1,308.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,337.64 : 5,006.56 = 872.42 : x
  2. Step 2: Convert to fraction form
    3,337.64/5,006.56 = 872.42/x
  3. Step 3: Cross multiply
    3,337.64x = 5,006.56 × 872.42
  4. Step 4: Simplify right side
    3,337.64x = 4,367,823.08
  5. Step 5: Solve for x
    x = 4,367,823.08/3,337.64
  6. Step 6: Final answer
    x = 1,308.66

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1.5x scale

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.