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Finding the Fourth Proportional to 3,000.40, 4,500.60 and 2,781.70

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Solution

The fourth proportional to 3,000.40, 4,500.60 and 2,781.70 is: 4,172.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,000.40 : 4,500.60 = 2,781.70 : x
  2. Step 2: Convert to fraction form
    3,000.40/4,500.60 = 2,781.70/x
  3. Step 3: Cross multiply
    3,000.40x = 4,500.60 × 2,781.70
  4. Step 4: Simplify right side
    3,000.40x = 12,519,319.02
  5. Step 5: Solve for x
    x = 12,519,319.02/3,000.40
  6. Step 6: Final answer
    x = 4,172.55

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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.