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Finding the Fourth Proportional to 1,351.49, 1,863.14 and 1,053.14

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Solution

The fourth proportional to 1,351.49, 1,863.14 and 1,053.14 is: 1,451.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,351.49 : 1,863.14 = 1,053.14 : x
  2. Step 2: Convert to fraction form
    1,351.49/1,863.14 = 1,053.14/x
  3. Step 3: Cross multiply
    1,351.49x = 1,863.14 × 1,053.14
  4. Step 4: Simplify right side
    1,351.49x = 1,962,132.68
  5. Step 5: Solve for x
    x = 1,962,132.68/1,351.49
  6. Step 6: Final answer
    x = 1,451.83

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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.