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Finding the Fourth Proportional to 6,407.68, 8,839.92 and 4,312.48

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Solution

The fourth proportional to 6,407.68, 8,839.92 and 4,312.48 is: 5,949.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,407.68 : 8,839.92 = 4,312.48 : x
  2. Step 2: Convert to fraction form
    6,407.68/8,839.92 = 4,312.48/x
  3. Step 3: Cross multiply
    6,407.68x = 8,839.92 × 4,312.48
  4. Step 4: Simplify right side
    6,407.68x = 38,121,978.20
  5. Step 5: Solve for x
    x = 38,121,978.20/6,407.68
  6. Step 6: Final answer
    x = 5,949.42

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.