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Finding the Fourth Proportional to 20,544.76, 30,813.78 and 9,451

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Solution

The fourth proportional to 20,544.76, 30,813.78 and 9,451 is: 14,174.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,544.76 : 30,813.78 = 9,451 : x
  2. Step 2: Convert to fraction form
    20,544.76/30,813.78 = 9,451/x
  3. Step 3: Cross multiply
    20,544.76x = 30,813.78 × 9,451
  4. Step 4: Simplify right side
    20,544.76x = 291,221,034.78
  5. Step 5: Solve for x
    x = 291,221,034.78/20,544.76
  6. Step 6: Final answer
    x = 14,174.95

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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.