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Finding the Fourth Proportional to 2,753.70, 4,130.55 and 2,619.30

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Solution

The fourth proportional to 2,753.70, 4,130.55 and 2,619.30 is: 3,928.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,753.70 : 4,130.55 = 2,619.30 : x
  2. Step 2: Convert to fraction form
    2,753.70/4,130.55 = 2,619.30/x
  3. Step 3: Cross multiply
    2,753.70x = 4,130.55 × 2,619.30
  4. Step 4: Simplify right side
    2,753.70x = 10,819,149.62
  5. Step 5: Solve for x
    x = 10,819,149.62/2,753.70
  6. Step 6: Final answer
    x = 3,928.95

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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.