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Finding the Fourth Proportional to 1,450, 2,001.72 and 1,363.60

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Solution

The fourth proportional to 1,450, 2,001.72 and 1,363.60 is: 1,882.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,450 : 2,001.72 = 1,363.60 : x
  2. Step 2: Convert to fraction form
    1,450/2,001.72 = 1,363.60/x
  3. Step 3: Cross multiply
    1,450x = 2,001.72 × 1,363.60
  4. Step 4: Simplify right side
    1,450x = 2,729,545.39
  5. Step 5: Solve for x
    x = 2,729,545.39/1,450
  6. Step 6: Final answer
    x = 1,882.45

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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.