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Finding the Fourth Proportional to 2,747.20, 4,120.80 and 2,390.80

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Solution

The fourth proportional to 2,747.20, 4,120.80 and 2,390.80 is: 3,586.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,747.20 : 4,120.80 = 2,390.80 : x
  2. Step 2: Convert to fraction form
    2,747.20/4,120.80 = 2,390.80/x
  3. Step 3: Cross multiply
    2,747.20x = 4,120.80 × 2,390.80
  4. Step 4: Simplify right side
    2,747.20x = 9,852,008.64
  5. Step 5: Solve for x
    x = 9,852,008.64/2,747.20
  6. Step 6: Final answer
    x = 3,586.20

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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.