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Finding the Fourth Proportional to 5,714.40, 8,566.20 and 5,131.20

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Solution

The fourth proportional to 5,714.40, 8,566.20 and 5,131.20 is: 7,691.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,714.40 : 8,566.20 = 5,131.20 : x
  2. Step 2: Convert to fraction form
    5,714.40/8,566.20 = 5,131.20/x
  3. Step 3: Cross multiply
    5,714.40x = 8,566.20 × 5,131.20
  4. Step 4: Simplify right side
    5,714.40x = 43,954,885.44
  5. Step 5: Solve for x
    x = 43,954,885.44/5,714.40
  6. Step 6: Final answer
    x = 7,691.95

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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.