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Finding the Fourth Proportional to 2,487.64, 3,731.49 and 844.15

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Solution

The fourth proportional to 2,487.64, 3,731.49 and 844.15 is: 1,266.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,487.64 : 3,731.49 = 844.15 : x
  2. Step 2: Convert to fraction form
    2,487.64/3,731.49 = 844.15/x
  3. Step 3: Cross multiply
    2,487.64x = 3,731.49 × 844.15
  4. Step 4: Simplify right side
    2,487.64x = 3,149,937.28
  5. Step 5: Solve for x
    x = 3,149,937.28/2,487.64
  6. Step 6: Final answer
    x = 1,266.24

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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.