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Finding the Fourth Proportional to 2,578.77, 3,869.78 and 1,039.77

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Solution

The fourth proportional to 2,578.77, 3,869.78 and 1,039.77 is: 1,560.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,578.77 : 3,869.78 = 1,039.77 : x
  2. Step 2: Convert to fraction form
    2,578.77/3,869.78 = 1,039.77/x
  3. Step 3: Cross multiply
    2,578.77x = 3,869.78 × 1,039.77
  4. Step 4: Simplify right side
    2,578.77x = 4,023,675.95
  5. Step 5: Solve for x
    x = 4,023,675.95/2,578.77
  6. Step 6: Final answer
    x = 1,560.31

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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.