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Finding the Fourth Proportional to 1,488.26, 2,053.82 and 825.13

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Solution

The fourth proportional to 1,488.26, 2,053.82 and 825.13 is: 1,138.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,488.26 : 2,053.82 = 825.13 : x
  2. Step 2: Convert to fraction form
    1,488.26/2,053.82 = 825.13/x
  3. Step 3: Cross multiply
    1,488.26x = 2,053.82 × 825.13
  4. Step 4: Simplify right side
    1,488.26x = 1,694,659.24
  5. Step 5: Solve for x
    x = 1,694,659.24/1,488.26
  6. Step 6: Final answer
    x = 1,138.68

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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.