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Finding the Fourth Proportional to 3,982.89, 5,973.53 and 3,785.30

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Solution

The fourth proportional to 3,982.89, 5,973.53 and 3,785.30 is: 5,677.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,982.89 : 5,973.53 = 3,785.30 : x
  2. Step 2: Convert to fraction form
    3,982.89/5,973.53 = 3,785.30/x
  3. Step 3: Cross multiply
    3,982.89x = 5,973.53 × 3,785.30
  4. Step 4: Simplify right side
    3,982.89x = 22,611,603.11
  5. Step 5: Solve for x
    x = 22,611,603.11/3,982.89
  6. Step 6: Final answer
    x = 5,677.18

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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.