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Finding the Fourth Proportional to 5,543.81, 7,647.13 and 4,049.90

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Solution

The fourth proportional to 5,543.81, 7,647.13 and 4,049.90 is: 5,586.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,543.81 : 7,647.13 = 4,049.90 : x
  2. Step 2: Convert to fraction form
    5,543.81/7,647.13 = 4,049.90/x
  3. Step 3: Cross multiply
    5,543.81x = 7,647.13 × 4,049.90
  4. Step 4: Simplify right side
    5,543.81x = 30,970,053.30
  5. Step 5: Solve for x
    x = 30,970,053.30/5,543.81
  6. Step 6: Final answer
    x = 5,586.43

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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.