Home / 2,982.08-4,470.96-1,442

Finding the Fourth Proportional to 2,982.08, 4,470.96 and 1,442

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Solution

The fourth proportional to 2,982.08, 4,470.96 and 1,442 is: 2,161.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,982.08 : 4,470.96 = 1,442 : x
  2. Step 2: Convert to fraction form
    2,982.08/4,470.96 = 1,442/x
  3. Step 3: Cross multiply
    2,982.08x = 4,470.96 × 1,442
  4. Step 4: Simplify right side
    2,982.08x = 6,447,124.32
  5. Step 5: Solve for x
    x = 6,447,124.32/2,982.08
  6. Step 6: Final answer
    x = 2,161.96

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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.