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Finding the Fourth Proportional to 3,974.64, 5,497.32 and 3,143.56

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Solution

The fourth proportional to 3,974.64, 5,497.32 and 3,143.56 is: 4,347.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,974.64 : 5,497.32 = 3,143.56 : x
  2. Step 2: Convert to fraction form
    3,974.64/5,497.32 = 3,143.56/x
  3. Step 3: Cross multiply
    3,974.64x = 5,497.32 × 3,143.56
  4. Step 4: Simplify right side
    3,974.64x = 17,281,155.26
  5. Step 5: Solve for x
    x = 17,281,155.26/3,974.64
  6. Step 6: Final answer
    x = 4,347.85

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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.