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Finding the Fourth Proportional to 2,587.61, 3,881.42 and 639.81

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Solution

The fourth proportional to 2,587.61, 3,881.42 and 639.81 is: 959.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,587.61 : 3,881.42 = 639.81 : x
  2. Step 2: Convert to fraction form
    2,587.61/3,881.42 = 639.81/x
  3. Step 3: Cross multiply
    2,587.61x = 3,881.42 × 639.81
  4. Step 4: Simplify right side
    2,587.61x = 2,483,371.33
  5. Step 5: Solve for x
    x = 2,483,371.33/2,587.61
  6. Step 6: Final answer
    x = 959.72

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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.