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Finding the Fourth Proportional to 3,143.67, 4,714.43 and 921.92

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Solution

The fourth proportional to 3,143.67, 4,714.43 and 921.92 is: 1,382.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,143.67 : 4,714.43 = 921.92 : x
  2. Step 2: Convert to fraction form
    3,143.67/4,714.43 = 921.92/x
  3. Step 3: Cross multiply
    3,143.67x = 4,714.43 × 921.92
  4. Step 4: Simplify right side
    3,143.67x = 4,346,299.12
  5. Step 5: Solve for x
    x = 4,346,299.12/3,143.67
  6. Step 6: Final answer
    x = 1,382.56

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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.