Home / 1,488.30-2,053.80-825.18

Finding the Fourth Proportional to 1,488.30, 2,053.80 and 825.18

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Solution

The fourth proportional to 1,488.30, 2,053.80 and 825.18 is: 1,138.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,488.30 : 2,053.80 = 825.18 : x
  2. Step 2: Convert to fraction form
    1,488.30/2,053.80 = 825.18/x
  3. Step 3: Cross multiply
    1,488.30x = 2,053.80 × 825.18
  4. Step 4: Simplify right side
    1,488.30x = 1,694,754.68
  5. Step 5: Solve for x
    x = 1,694,754.68/1,488.30
  6. Step 6: Final answer
    x = 1,138.72

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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.