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Finding the Fourth Proportional to 3,049.79, 4,571.15 and 1,402.88

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Solution

The fourth proportional to 3,049.79, 4,571.15 and 1,402.88 is: 2,102.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,049.79 : 4,571.15 = 1,402.88 : x
  2. Step 2: Convert to fraction form
    3,049.79/4,571.15 = 1,402.88/x
  3. Step 3: Cross multiply
    3,049.79x = 4,571.15 × 1,402.88
  4. Step 4: Simplify right side
    3,049.79x = 6,412,778.42
  5. Step 5: Solve for x
    x = 6,412,778.42/3,049.79
  6. Step 6: Final answer
    x = 2,102.70

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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.