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Finding the Fourth Proportional to 2,486.57, 3,729.65 and 637.74

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Solution

The fourth proportional to 2,486.57, 3,729.65 and 637.74 is: 956.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,486.57 : 3,729.65 = 637.74 : x
  2. Step 2: Convert to fraction form
    2,486.57/3,729.65 = 637.74/x
  3. Step 3: Cross multiply
    2,486.57x = 3,729.65 × 637.74
  4. Step 4: Simplify right side
    2,486.57x = 2,378,543.80
  5. Step 5: Solve for x
    x = 2,378,543.80/2,486.57
  6. Step 6: Final answer
    x = 956.56

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1.5x scale

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.