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Finding the Fourth Proportional to 3,746.92, 5,612.80 and 1,793.20

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Solution

The fourth proportional to 3,746.92, 5,612.80 and 1,793.20 is: 2,686.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,746.92 : 5,612.80 = 1,793.20 : x
  2. Step 2: Convert to fraction form
    3,746.92/5,612.80 = 1,793.20/x
  3. Step 3: Cross multiply
    3,746.92x = 5,612.80 × 1,793.20
  4. Step 4: Simplify right side
    3,746.92x = 10,064,872.96
  5. Step 5: Solve for x
    x = 10,064,872.96/3,746.92
  6. Step 6: Final answer
    x = 2,686.17

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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.