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Finding the Fourth Proportional to 2,630.82, 3,947.44 and 987.14

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Solution

The fourth proportional to 2,630.82, 3,947.44 and 987.14 is: 1,481.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,630.82 : 3,947.44 = 987.14 : x
  2. Step 2: Convert to fraction form
    2,630.82/3,947.44 = 987.14/x
  3. Step 3: Cross multiply
    2,630.82x = 3,947.44 × 987.14
  4. Step 4: Simplify right side
    2,630.82x = 3,896,675.92
  5. Step 5: Solve for x
    x = 3,896,675.92/2,630.82
  6. Step 6: Final answer
    x = 1,481.16

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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.