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Finding the Fourth Proportional to 2,655.06, 3,978.95 and 1,353.80

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Solution

The fourth proportional to 2,655.06, 3,978.95 and 1,353.80 is: 2,028.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,655.06 : 3,978.95 = 1,353.80 : x
  2. Step 2: Convert to fraction form
    2,655.06/3,978.95 = 1,353.80/x
  3. Step 3: Cross multiply
    2,655.06x = 3,978.95 × 1,353.80
  4. Step 4: Simplify right side
    2,655.06x = 5,386,675.85
  5. Step 5: Solve for x
    x = 5,386,675.85/2,655.06
  6. Step 6: Final answer
    x = 2,028.83

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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.