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Finding the Fourth Proportional to 3,959.22, 5,937.12 and 1,587

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Solution

The fourth proportional to 3,959.22, 5,937.12 and 1,587 is: 2,379.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,959.22 : 5,937.12 = 1,587 : x
  2. Step 2: Convert to fraction form
    3,959.22/5,937.12 = 1,587/x
  3. Step 3: Cross multiply
    3,959.22x = 5,937.12 × 1,587
  4. Step 4: Simplify right side
    3,959.22x = 9,422,209.44
  5. Step 5: Solve for x
    x = 9,422,209.44/3,959.22
  6. Step 6: Final answer
    x = 2,379.81

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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.