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Finding the Fourth Proportional to 3,977.64, 5,491.12 and 2,486.38

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Solution

The fourth proportional to 3,977.64, 5,491.12 and 2,486.38 is: 3,432.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,977.64 : 5,491.12 = 2,486.38 : x
  2. Step 2: Convert to fraction form
    3,977.64/5,491.12 = 2,486.38/x
  3. Step 3: Cross multiply
    3,977.64x = 5,491.12 × 2,486.38
  4. Step 4: Simplify right side
    3,977.64x = 13,653,010.95
  5. Step 5: Solve for x
    x = 13,653,010.95/3,977.64
  6. Step 6: Final answer
    x = 3,432.44

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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.