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Finding the Fourth Proportional to 2,710.50, 4,062.65 and 1,230.85

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Solution

The fourth proportional to 2,710.50, 4,062.65 and 1,230.85 is: 1,844.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,710.50 : 4,062.65 = 1,230.85 : x
  2. Step 2: Convert to fraction form
    2,710.50/4,062.65 = 1,230.85/x
  3. Step 3: Cross multiply
    2,710.50x = 4,062.65 × 1,230.85
  4. Step 4: Simplify right side
    2,710.50x = 5,000,510.75
  5. Step 5: Solve for x
    x = 5,000,510.75/2,710.50
  6. Step 6: Final answer
    x = 1,844.87

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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.