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Finding the Fourth Proportional to 2,883.38, 4,324.62 and 803.57

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Solution

The fourth proportional to 2,883.38, 4,324.62 and 803.57 is: 1,205.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,883.38 : 4,324.62 = 803.57 : x
  2. Step 2: Convert to fraction form
    2,883.38/4,324.62 = 803.57/x
  3. Step 3: Cross multiply
    2,883.38x = 4,324.62 × 803.57
  4. Step 4: Simplify right side
    2,883.38x = 3,475,134.89
  5. Step 5: Solve for x
    x = 3,475,134.89/2,883.38
  6. Step 6: Final answer
    x = 1,205.23

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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.