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Finding the Fourth Proportional to 28,337, 42,505.48 and 13,500.96

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Solution

The fourth proportional to 28,337, 42,505.48 and 13,500.96 is: 20,251.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,337 : 42,505.48 = 13,500.96 : x
  2. Step 2: Convert to fraction form
    28,337/42,505.48 = 13,500.96/x
  3. Step 3: Cross multiply
    28,337x = 42,505.48 × 13,500.96
  4. Step 4: Simplify right side
    28,337x = 573,864,785.26
  5. Step 5: Solve for x
    x = 573,864,785.26/28,337
  6. Step 6: Final answer
    x = 20,251.43

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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.