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Finding the Fourth Proportional to 2,486.72, 3,729.83 and 637.78

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Solution

The fourth proportional to 2,486.72, 3,729.83 and 637.78 is: 956.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,486.72 : 3,729.83 = 637.78 : x
  2. Step 2: Convert to fraction form
    2,486.72/3,729.83 = 637.78/x
  3. Step 3: Cross multiply
    2,486.72x = 3,729.83 × 637.78
  4. Step 4: Simplify right side
    2,486.72x = 2,378,792.33
  5. Step 5: Solve for x
    x = 2,378,792.33/2,486.72
  6. Step 6: Final answer
    x = 956.60

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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.