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Finding the Fourth Proportional to 2,982.76, 4,471.07 and 1,420.44

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Solution

The fourth proportional to 2,982.76, 4,471.07 and 1,420.44 is: 2,129.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,982.76 : 4,471.07 = 1,420.44 : x
  2. Step 2: Convert to fraction form
    2,982.76/4,471.07 = 1,420.44/x
  3. Step 3: Cross multiply
    2,982.76x = 4,471.07 × 1,420.44
  4. Step 4: Simplify right side
    2,982.76x = 6,350,862.80
  5. Step 5: Solve for x
    x = 6,350,862.80/2,982.76
  6. Step 6: Final answer
    x = 2,129.19

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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.