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Finding the Fourth Proportional to 16,818, 25,217.40 and 5,127.12

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Solution

The fourth proportional to 16,818, 25,217.40 and 5,127.12 is: 7,687.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,818 : 25,217.40 = 5,127.12 : x
  2. Step 2: Convert to fraction form
    16,818/25,217.40 = 5,127.12/x
  3. Step 3: Cross multiply
    16,818x = 25,217.40 × 5,127.12
  4. Step 4: Simplify right side
    16,818x = 129,292,635.89
  5. Step 5: Solve for x
    x = 129,292,635.89/16,818
  6. Step 6: Final answer
    x = 7,687.75

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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.