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Finding the Fourth Proportional to 2,988, 4,481.52 and 2,119.68

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Solution

The fourth proportional to 2,988, 4,481.52 and 2,119.68 is: 3,179.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,988 : 4,481.52 = 2,119.68 : x
  2. Step 2: Convert to fraction form
    2,988/4,481.52 = 2,119.68/x
  3. Step 3: Cross multiply
    2,988x = 4,481.52 × 2,119.68
  4. Step 4: Simplify right side
    2,988x = 9,499,388.31
  5. Step 5: Solve for x
    x = 9,499,388.31/2,988
  6. Step 6: Final answer
    x = 3,179.18

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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.