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Finding the Fourth Proportional to 5,697.38, 8,479.64 and 5,642.66

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Solution

The fourth proportional to 5,697.38, 8,479.64 and 5,642.66 is: 8,398.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,697.38 : 8,479.64 = 5,642.66 : x
  2. Step 2: Convert to fraction form
    5,697.38/8,479.64 = 5,642.66/x
  3. Step 3: Cross multiply
    5,697.38x = 8,479.64 × 5,642.66
  4. Step 4: Simplify right side
    5,697.38x = 47,847,725.44
  5. Step 5: Solve for x
    x = 47,847,725.44/5,697.38
  6. Step 6: Final answer
    x = 8,398.20

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.