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Finding the Fourth Proportional to 5,647.88, 8,471.81 and 1,543.88

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Solution

The fourth proportional to 5,647.88, 8,471.81 and 1,543.88 is: 2,315.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,647.88 : 8,471.81 = 1,543.88 : x
  2. Step 2: Convert to fraction form
    5,647.88/8,471.81 = 1,543.88/x
  3. Step 3: Cross multiply
    5,647.88x = 8,471.81 × 1,543.88
  4. Step 4: Simplify right side
    5,647.88x = 13,079,419.52
  5. Step 5: Solve for x
    x = 13,079,419.52/5,647.88
  6. Step 6: Final answer
    x = 2,315.81

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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.