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Finding the Fourth Proportional to 2,486.48, 3,729.71 and 637.53

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Solution

The fourth proportional to 2,486.48, 3,729.71 and 637.53 is: 956.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,486.48 : 3,729.71 = 637.53 : x
  2. Step 2: Convert to fraction form
    2,486.48/3,729.71 = 637.53/x
  3. Step 3: Cross multiply
    2,486.48x = 3,729.71 × 637.53
  4. Step 4: Simplify right side
    2,486.48x = 2,377,798.83
  5. Step 5: Solve for x
    x = 2,377,798.83/2,486.48
  6. Step 6: Final answer
    x = 956.29

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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.