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Finding the Fourth Proportional to 15,103, 20,842.14 and 8,815.42

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Solution

The fourth proportional to 15,103, 20,842.14 and 8,815.42 is: 12,165.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,103 : 20,842.14 = 8,815.42 : x
  2. Step 2: Convert to fraction form
    15,103/20,842.14 = 8,815.42/x
  3. Step 3: Cross multiply
    15,103x = 20,842.14 × 8,815.42
  4. Step 4: Simplify right side
    15,103x = 183,732,217.80
  5. Step 5: Solve for x
    x = 183,732,217.80/15,103
  6. Step 6: Final answer
    x = 12,165.28

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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.