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Finding the Fourth Proportional to 5,877.82, 8,817.95 and 1,982.13

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Solution

The fourth proportional to 5,877.82, 8,817.95 and 1,982.13 is: 2,973.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,877.82 : 8,817.95 = 1,982.13 : x
  2. Step 2: Convert to fraction form
    5,877.82/8,817.95 = 1,982.13/x
  3. Step 3: Cross multiply
    5,877.82x = 8,817.95 × 1,982.13
  4. Step 4: Simplify right side
    5,877.82x = 17,478,323.23
  5. Step 5: Solve for x
    x = 17,478,323.23/5,877.82
  6. Step 6: Final answer
    x = 2,973.61

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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.