Home / 1,587.20-2,377.60-1,008

Finding the Fourth Proportional to 1,587.20, 2,377.60 and 1,008

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Solution

The fourth proportional to 1,587.20, 2,377.60 and 1,008 is: 1,509.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,587.20 : 2,377.60 = 1,008 : x
  2. Step 2: Convert to fraction form
    1,587.20/2,377.60 = 1,008/x
  3. Step 3: Cross multiply
    1,587.20x = 2,377.60 × 1,008
  4. Step 4: Simplify right side
    1,587.20x = 2,396,620.80
  5. Step 5: Solve for x
    x = 2,396,620.80/1,587.20
  6. Step 6: Final answer
    x = 1,509.97

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.