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Finding the Fourth Proportional to 5,877.68, 8,817.89 and 1,982.07

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Solution

The fourth proportional to 5,877.68, 8,817.89 and 1,982.07 is: 2,973.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,877.68 : 8,817.89 = 1,982.07 : x
  2. Step 2: Convert to fraction form
    5,877.68/8,817.89 = 1,982.07/x
  3. Step 3: Cross multiply
    5,877.68x = 8,817.89 × 1,982.07
  4. Step 4: Simplify right side
    5,877.68x = 17,477,665.32
  5. Step 5: Solve for x
    x = 17,477,665.32/5,877.68
  6. Step 6: Final answer
    x = 2,973.57

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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.