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Finding the Fourth Proportional to 13,812, 20,699.34 and 7,562.58

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Solution

The fourth proportional to 13,812, 20,699.34 and 7,562.58 is: 11,333.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,812 : 20,699.34 = 7,562.58 : x
  2. Step 2: Convert to fraction form
    13,812/20,699.34 = 7,562.58/x
  3. Step 3: Cross multiply
    13,812x = 20,699.34 × 7,562.58
  4. Step 4: Simplify right side
    13,812x = 156,540,414.70
  5. Step 5: Solve for x
    x = 156,540,414.70/13,812
  6. Step 6: Final answer
    x = 11,333.65

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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.