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Finding the Fourth Proportional to 3,943.32, 5,916 and 1,478.16

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Solution

The fourth proportional to 3,943.32, 5,916 and 1,478.16 is: 2,217.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,943.32 : 5,916 = 1,478.16 : x
  2. Step 2: Convert to fraction form
    3,943.32/5,916 = 1,478.16/x
  3. Step 3: Cross multiply
    3,943.32x = 5,916 × 1,478.16
  4. Step 4: Simplify right side
    3,943.32x = 8,744,794.56
  5. Step 5: Solve for x
    x = 8,744,794.56/3,943.32
  6. Step 6: Final answer
    x = 2,217.62

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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.