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Finding the Fourth Proportional to 1,339.20, 1,843.02 and 1,215

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Solution

The fourth proportional to 1,339.20, 1,843.02 and 1,215 is: 1,672.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,339.20 : 1,843.02 = 1,215 : x
  2. Step 2: Convert to fraction form
    1,339.20/1,843.02 = 1,215/x
  3. Step 3: Cross multiply
    1,339.20x = 1,843.02 × 1,215
  4. Step 4: Simplify right side
    1,339.20x = 2,239,269.30
  5. Step 5: Solve for x
    x = 2,239,269.30/1,339.20
  6. Step 6: Final answer
    x = 1,672.09

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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.