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Finding the Fourth Proportional to 2,587.75, 3,881.62 and 639.90

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Solution

The fourth proportional to 2,587.75, 3,881.62 and 639.90 is: 959.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,587.75 : 3,881.62 = 639.90 : x
  2. Step 2: Convert to fraction form
    2,587.75/3,881.62 = 639.90/x
  3. Step 3: Cross multiply
    2,587.75x = 3,881.62 × 639.90
  4. Step 4: Simplify right side
    2,587.75x = 2,483,849.44
  5. Step 5: Solve for x
    x = 2,483,849.44/2,587.75
  6. Step 6: Final answer
    x = 959.85

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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.