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Finding the Fourth Proportional to 2,872.74, 4,309.13 and 1,023.93

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Solution

The fourth proportional to 2,872.74, 4,309.13 and 1,023.93 is: 1,535.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,872.74 : 4,309.13 = 1,023.93 : x
  2. Step 2: Convert to fraction form
    2,872.74/4,309.13 = 1,023.93/x
  3. Step 3: Cross multiply
    2,872.74x = 4,309.13 × 1,023.93
  4. Step 4: Simplify right side
    2,872.74x = 4,412,250.04
  5. Step 5: Solve for x
    x = 4,412,250.04/2,872.74
  6. Step 6: Final answer
    x = 1,535.90

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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.