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Finding the Fourth Proportional to 2,304, 3,179.76 and 1,419.78

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Solution

The fourth proportional to 2,304, 3,179.76 and 1,419.78 is: 1,959.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,304 : 3,179.76 = 1,419.78 : x
  2. Step 2: Convert to fraction form
    2,304/3,179.76 = 1,419.78/x
  3. Step 3: Cross multiply
    2,304x = 3,179.76 × 1,419.78
  4. Step 4: Simplify right side
    2,304x = 4,514,559.65
  5. Step 5: Solve for x
    x = 4,514,559.65/2,304
  6. Step 6: Final answer
    x = 1,959.44

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.