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Finding the Fourth Proportional to 5,531.32, 8,294.10 and 1,635.20

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Solution

The fourth proportional to 5,531.32, 8,294.10 and 1,635.20 is: 2,451.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,531.32 : 8,294.10 = 1,635.20 : x
  2. Step 2: Convert to fraction form
    5,531.32/8,294.10 = 1,635.20/x
  3. Step 3: Cross multiply
    5,531.32x = 8,294.10 × 1,635.20
  4. Step 4: Simplify right side
    5,531.32x = 13,562,512.32
  5. Step 5: Solve for x
    x = 13,562,512.32/5,531.32
  6. Step 6: Final answer
    x = 2,451.95

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1.5x scale

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.