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Finding the Fourth Proportional to 3,853.62, 5,777.19 and 1,543.86

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Solution

The fourth proportional to 3,853.62, 5,777.19 and 1,543.86 is: 2,314.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,853.62 : 5,777.19 = 1,543.86 : x
  2. Step 2: Convert to fraction form
    3,853.62/5,777.19 = 1,543.86/x
  3. Step 3: Cross multiply
    3,853.62x = 5,777.19 × 1,543.86
  4. Step 4: Simplify right side
    3,853.62x = 8,919,172.55
  5. Step 5: Solve for x
    x = 8,919,172.55/3,853.62
  6. Step 6: Final answer
    x = 2,314.49

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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.