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Finding the Fourth Proportional to 5,446, 8,156 and 3,132.64

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Solution

The fourth proportional to 5,446, 8,156 and 3,132.64 is: 4,691.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,446 : 8,156 = 3,132.64 : x
  2. Step 2: Convert to fraction form
    5,446/8,156 = 3,132.64/x
  3. Step 3: Cross multiply
    5,446x = 8,156 × 3,132.64
  4. Step 4: Simplify right side
    5,446x = 25,549,811.84
  5. Step 5: Solve for x
    x = 25,549,811.84/5,446
  6. Step 6: Final answer
    x = 4,691.48

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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.