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Finding the Fourth Proportional to 3,946.16, 5,920.19 and 1,481

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Solution

The fourth proportional to 3,946.16, 5,920.19 and 1,481 is: 2,221.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,946.16 : 5,920.19 = 1,481 : x
  2. Step 2: Convert to fraction form
    3,946.16/5,920.19 = 1,481/x
  3. Step 3: Cross multiply
    3,946.16x = 5,920.19 × 1,481
  4. Step 4: Simplify right side
    3,946.16x = 8,767,793.99
  5. Step 5: Solve for x
    x = 8,767,793.99/3,946.16
  6. Step 6: Final answer
    x = 2,221.86

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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.