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Finding the Fourth Proportional to 1,578.80, 2,174.10 and 1,080.92

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Solution

The fourth proportional to 1,578.80, 2,174.10 and 1,080.92 is: 1,488.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,578.80 : 2,174.10 = 1,080.92 : x
  2. Step 2: Convert to fraction form
    1,578.80/2,174.10 = 1,080.92/x
  3. Step 3: Cross multiply
    1,578.80x = 2,174.10 × 1,080.92
  4. Step 4: Simplify right side
    1,578.80x = 2,350,028.17
  5. Step 5: Solve for x
    x = 2,350,028.17/1,578.80
  6. Step 6: Final answer
    x = 1,488.49

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Double scale
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1.5x scale

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.