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Finding the Fourth Proportional to 2,521.32, 3,781.98 and 982.68

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Solution

The fourth proportional to 2,521.32, 3,781.98 and 982.68 is: 1,474.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,521.32 : 3,781.98 = 982.68 : x
  2. Step 2: Convert to fraction form
    2,521.32/3,781.98 = 982.68/x
  3. Step 3: Cross multiply
    2,521.32x = 3,781.98 × 982.68
  4. Step 4: Simplify right side
    2,521.32x = 3,716,476.11
  5. Step 5: Solve for x
    x = 3,716,476.11/2,521.32
  6. Step 6: Final answer
    x = 1,474.02

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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.