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Finding the Fourth Proportional to 6,147.66, 8,480.82 and 4,158.90

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Solution

The fourth proportional to 6,147.66, 8,480.82 and 4,158.90 is: 5,737.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,147.66 : 8,480.82 = 4,158.90 : x
  2. Step 2: Convert to fraction form
    6,147.66/8,480.82 = 4,158.90/x
  3. Step 3: Cross multiply
    6,147.66x = 8,480.82 × 4,158.90
  4. Step 4: Simplify right side
    6,147.66x = 35,270,882.30
  5. Step 5: Solve for x
    x = 35,270,882.30/6,147.66
  6. Step 6: Final answer
    x = 5,737.29

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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.