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Finding the Fourth Proportional to 3,779, 5,216.28 and 2,381.78

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Solution

The fourth proportional to 3,779, 5,216.28 and 2,381.78 is: 3,287.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,779 : 5,216.28 = 2,381.78 : x
  2. Step 2: Convert to fraction form
    3,779/5,216.28 = 2,381.78/x
  3. Step 3: Cross multiply
    3,779x = 5,216.28 × 2,381.78
  4. Step 4: Simplify right side
    3,779x = 12,424,031.38
  5. Step 5: Solve for x
    x = 12,424,031.38/3,779
  6. Step 6: Final answer
    x = 3,287.65

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.