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Finding the Fourth Proportional to 2,657.78, 3,984.09 and 1,270.76

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Solution

The fourth proportional to 2,657.78, 3,984.09 and 1,270.76 is: 1,904.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,657.78 : 3,984.09 = 1,270.76 : x
  2. Step 2: Convert to fraction form
    2,657.78/3,984.09 = 1,270.76/x
  3. Step 3: Cross multiply
    2,657.78x = 3,984.09 × 1,270.76
  4. Step 4: Simplify right side
    2,657.78x = 5,062,797.52
  5. Step 5: Solve for x
    x = 5,062,797.52/2,657.78
  6. Step 6: Final answer
    x = 1,904.90

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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.