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Finding the Fourth Proportional to 5,470.88, 8,205.42 and 1,575.68

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Solution

The fourth proportional to 5,470.88, 8,205.42 and 1,575.68 is: 2,363.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,470.88 : 8,205.42 = 1,575.68 : x
  2. Step 2: Convert to fraction form
    5,470.88/8,205.42 = 1,575.68/x
  3. Step 3: Cross multiply
    5,470.88x = 8,205.42 × 1,575.68
  4. Step 4: Simplify right side
    5,470.88x = 12,929,116.19
  5. Step 5: Solve for x
    x = 12,929,116.19/5,470.88
  6. Step 6: Final answer
    x = 2,363.26

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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.