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Finding the Fourth Proportional to 2,371.92, 3,557.88 and 986.22

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Solution

The fourth proportional to 2,371.92, 3,557.88 and 986.22 is: 1,479.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,371.92 : 3,557.88 = 986.22 : x
  2. Step 2: Convert to fraction form
    2,371.92/3,557.88 = 986.22/x
  3. Step 3: Cross multiply
    2,371.92x = 3,557.88 × 986.22
  4. Step 4: Simplify right side
    2,371.92x = 3,508,852.41
  5. Step 5: Solve for x
    x = 3,508,852.41/2,371.92
  6. Step 6: Final answer
    x = 1,479.33

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Similar ratio
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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.