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Finding the Fourth Proportional to 2,759.78, 4,139.68 and 1,028

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Solution

The fourth proportional to 2,759.78, 4,139.68 and 1,028 is: 1,542.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,759.78 : 4,139.68 = 1,028 : x
  2. Step 2: Convert to fraction form
    2,759.78/4,139.68 = 1,028/x
  3. Step 3: Cross multiply
    2,759.78x = 4,139.68 × 1,028
  4. Step 4: Simplify right side
    2,759.78x = 4,255,591.04
  5. Step 5: Solve for x
    x = 4,255,591.04/2,759.78
  6. Step 6: Final answer
    x = 1,542.00

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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.