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Finding the Fourth Proportional to 2,585.41, 3,878.19 and 637.61

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Solution

The fourth proportional to 2,585.41, 3,878.19 and 637.61 is: 956.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,585.41 : 3,878.19 = 637.61 : x
  2. Step 2: Convert to fraction form
    2,585.41/3,878.19 = 637.61/x
  3. Step 3: Cross multiply
    2,585.41x = 3,878.19 × 637.61
  4. Step 4: Simplify right side
    2,585.41x = 2,472,772.73
  5. Step 5: Solve for x
    x = 2,472,772.73/2,585.41
  6. Step 6: Final answer
    x = 956.43

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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.