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Finding the Fourth Proportional to 5,876.84, 8,815.80 and 1,982.36

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Solution

The fourth proportional to 5,876.84, 8,815.80 and 1,982.36 is: 2,973.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,876.84 : 8,815.80 = 1,982.36 : x
  2. Step 2: Convert to fraction form
    5,876.84/8,815.80 = 1,982.36/x
  3. Step 3: Cross multiply
    5,876.84x = 8,815.80 × 1,982.36
  4. Step 4: Simplify right side
    5,876.84x = 17,476,089.29
  5. Step 5: Solve for x
    x = 17,476,089.29/5,876.84
  6. Step 6: Final answer
    x = 2,973.72

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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.