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Finding the Fourth Proportional to 20,851.50, 28,775.27 and 12,468

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Solution

The fourth proportional to 20,851.50, 28,775.27 and 12,468 is: 17,205.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,851.50 : 28,775.27 = 12,468 : x
  2. Step 2: Convert to fraction form
    20,851.50/28,775.27 = 12,468/x
  3. Step 3: Cross multiply
    20,851.50x = 28,775.27 × 12,468
  4. Step 4: Simplify right side
    20,851.50x = 358,770,097.53
  5. Step 5: Solve for x
    x = 358,770,097.53/20,851.50
  6. Step 6: Final answer
    x = 17,205.96

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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.