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Finding the Fourth Proportional to 6,138.59, 8,472.05 and 3,748.05

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Solution

The fourth proportional to 6,138.59, 8,472.05 and 3,748.05 is: 5,172.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,138.59 : 8,472.05 = 3,748.05 : x
  2. Step 2: Convert to fraction form
    6,138.59/8,472.05 = 3,748.05/x
  3. Step 3: Cross multiply
    6,138.59x = 8,472.05 × 3,748.05
  4. Step 4: Simplify right side
    6,138.59x = 31,753,648.26
  5. Step 5: Solve for x
    x = 31,753,648.26/6,138.59
  6. Step 6: Final answer
    x = 5,172.80

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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.