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Finding the Fourth Proportional to 2,229.83, 3,345.21 and 843.13

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Solution

The fourth proportional to 2,229.83, 3,345.21 and 843.13 is: 1,264.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,229.83 : 3,345.21 = 843.13 : x
  2. Step 2: Convert to fraction form
    2,229.83/3,345.21 = 843.13/x
  3. Step 3: Cross multiply
    2,229.83x = 3,345.21 × 843.13
  4. Step 4: Simplify right side
    2,229.83x = 2,820,463.02
  5. Step 5: Solve for x
    x = 2,820,463.02/2,229.83
  6. Step 6: Final answer
    x = 1,264.88

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1.5x scale

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.