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Finding the Fourth Proportional to 2,585.34, 3,878.02 and 637.56

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Solution

The fourth proportional to 2,585.34, 3,878.02 and 637.56 is: 956.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,585.34 : 3,878.02 = 637.56 : x
  2. Step 2: Convert to fraction form
    2,585.34/3,878.02 = 637.56/x
  3. Step 3: Cross multiply
    2,585.34x = 3,878.02 × 637.56
  4. Step 4: Simplify right side
    2,585.34x = 2,472,470.43
  5. Step 5: Solve for x
    x = 2,472,470.43/2,585.34
  6. Step 6: Final answer
    x = 956.34

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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.