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Finding the Fourth Proportional to 3,178.57, 4,767.97 and 987.24

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Solution

The fourth proportional to 3,178.57, 4,767.97 and 987.24 is: 1,480.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,178.57 : 4,767.97 = 987.24 : x
  2. Step 2: Convert to fraction form
    3,178.57/4,767.97 = 987.24/x
  3. Step 3: Cross multiply
    3,178.57x = 4,767.97 × 987.24
  4. Step 4: Simplify right side
    3,178.57x = 4,707,149.82
  5. Step 5: Solve for x
    x = 4,707,149.82/3,178.57
  6. Step 6: Final answer
    x = 1,480.90

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1.5x scale

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.