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Finding the Fourth Proportional to 5,987.71, 8,982.11 and 2,869.21

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Solution

The fourth proportional to 5,987.71, 8,982.11 and 2,869.21 is: 4,304.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,987.71 : 8,982.11 = 2,869.21 : x
  2. Step 2: Convert to fraction form
    5,987.71/8,982.11 = 2,869.21/x
  3. Step 3: Cross multiply
    5,987.71x = 8,982.11 × 2,869.21
  4. Step 4: Simplify right side
    5,987.71x = 25,771,559.83
  5. Step 5: Solve for x
    x = 25,771,559.83/5,987.71
  6. Step 6: Final answer
    x = 4,304.08

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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.