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Finding the Fourth Proportional to 2,386.88, 3,581.44 and 1,414.88

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Solution

The fourth proportional to 2,386.88, 3,581.44 and 1,414.88 is: 2,122.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,386.88 : 3,581.44 = 1,414.88 : x
  2. Step 2: Convert to fraction form
    2,386.88/3,581.44 = 1,414.88/x
  3. Step 3: Cross multiply
    2,386.88x = 3,581.44 × 1,414.88
  4. Step 4: Simplify right side
    2,386.88x = 5,067,307.83
  5. Step 5: Solve for x
    x = 5,067,307.83/2,386.88
  6. Step 6: Final answer
    x = 2,122.98

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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.