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Finding the Fourth Proportional to 3,967.64, 5,947.16 and 2,581.96

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Solution

The fourth proportional to 3,967.64, 5,947.16 and 2,581.96 is: 3,870.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,967.64 : 5,947.16 = 2,581.96 : x
  2. Step 2: Convert to fraction form
    3,967.64/5,947.16 = 2,581.96/x
  3. Step 3: Cross multiply
    3,967.64x = 5,947.16 × 2,581.96
  4. Step 4: Simplify right side
    3,967.64x = 15,355,301.46
  5. Step 5: Solve for x
    x = 15,355,301.46/3,967.64
  6. Step 6: Final answer
    x = 3,870.13

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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.