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Finding the Fourth Proportional to 3,885.08, 5,824.39 and 1,543.64

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Solution

The fourth proportional to 3,885.08, 5,824.39 and 1,543.64 is: 2,314.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,885.08 : 5,824.39 = 1,543.64 : x
  2. Step 2: Convert to fraction form
    3,885.08/5,824.39 = 1,543.64/x
  3. Step 3: Cross multiply
    3,885.08x = 5,824.39 × 1,543.64
  4. Step 4: Simplify right side
    3,885.08x = 8,990,761.38
  5. Step 5: Solve for x
    x = 8,990,761.38/3,885.08
  6. Step 6: Final answer
    x = 2,314.18

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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.