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Finding the Fourth Proportional to 2,480.55, 3,722.05 and 999.71

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Solution

The fourth proportional to 2,480.55, 3,722.05 and 999.71 is: 1,500.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,480.55 : 3,722.05 = 999.71 : x
  2. Step 2: Convert to fraction form
    2,480.55/3,722.05 = 999.71/x
  3. Step 3: Cross multiply
    2,480.55x = 3,722.05 × 999.71
  4. Step 4: Simplify right side
    2,480.55x = 3,720,956.30
  5. Step 5: Solve for x
    x = 3,720,956.30/2,480.55
  6. Step 6: Final answer
    x = 1,500.05

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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.