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Finding the Fourth Proportional to 2,572.80, 3,859.20 and 2,083.52

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Solution

The fourth proportional to 2,572.80, 3,859.20 and 2,083.52 is: 3,125.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,572.80 : 3,859.20 = 2,083.52 : x
  2. Step 2: Convert to fraction form
    2,572.80/3,859.20 = 2,083.52/x
  3. Step 3: Cross multiply
    2,572.80x = 3,859.20 × 2,083.52
  4. Step 4: Simplify right side
    2,572.80x = 8,040,720.38
  5. Step 5: Solve for x
    x = 8,040,720.38/2,572.80
  6. Step 6: Final answer
    x = 3,125.28

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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.