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Finding the Fourth Proportional to 2,572.78, 3,859.14 and 1,033.78

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Solution

The fourth proportional to 2,572.78, 3,859.14 and 1,033.78 is: 1,550.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,572.78 : 3,859.14 = 1,033.78 : x
  2. Step 2: Convert to fraction form
    2,572.78/3,859.14 = 1,033.78/x
  3. Step 3: Cross multiply
    2,572.78x = 3,859.14 × 1,033.78
  4. Step 4: Simplify right side
    2,572.78x = 3,989,501.75
  5. Step 5: Solve for x
    x = 3,989,501.75/2,572.78
  6. Step 6: Final answer
    x = 1,550.66

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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.