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Finding the Fourth Proportional to 1,373.44, 1,898.31 and 1,214.95

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Solution

The fourth proportional to 1,373.44, 1,898.31 and 1,214.95 is: 1,679.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,373.44 : 1,898.31 = 1,214.95 : x
  2. Step 2: Convert to fraction form
    1,373.44/1,898.31 = 1,214.95/x
  3. Step 3: Cross multiply
    1,373.44x = 1,898.31 × 1,214.95
  4. Step 4: Simplify right side
    1,373.44x = 2,306,351.73
  5. Step 5: Solve for x
    x = 2,306,351.73/1,373.44
  6. Step 6: Final answer
    x = 1,679.25

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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.