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Finding the Fourth Proportional to 20,462, 28,251.12 and 13,400.96

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Solution

The fourth proportional to 20,462, 28,251.12 and 13,400.96 is: 18,502.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,462 : 28,251.12 = 13,400.96 : x
  2. Step 2: Convert to fraction form
    20,462/28,251.12 = 13,400.96/x
  3. Step 3: Cross multiply
    20,462x = 28,251.12 × 13,400.96
  4. Step 4: Simplify right side
    20,462x = 378,592,129.08
  5. Step 5: Solve for x
    x = 378,592,129.08/20,462
  6. Step 6: Final answer
    x = 18,502.21

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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.