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Finding the Fourth Proportional to 5,471.30, 8,208.31 and 1,575.70

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Solution

The fourth proportional to 5,471.30, 8,208.31 and 1,575.70 is: 2,363.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,471.30 : 8,208.31 = 1,575.70 : x
  2. Step 2: Convert to fraction form
    5,471.30/8,208.31 = 1,575.70/x
  3. Step 3: Cross multiply
    5,471.30x = 8,208.31 × 1,575.70
  4. Step 4: Simplify right side
    5,471.30x = 12,933,863.16
  5. Step 5: Solve for x
    x = 12,933,863.16/5,471.30
  6. Step 6: Final answer
    x = 2,363.95

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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.