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Finding the Fourth Proportional to 5,876.75, 8,815.15 and 1,981.19

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Solution

The fourth proportional to 5,876.75, 8,815.15 and 1,981.19 is: 2,971.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,876.75 : 8,815.15 = 1,981.19 : x
  2. Step 2: Convert to fraction form
    5,876.75/8,815.15 = 1,981.19/x
  3. Step 3: Cross multiply
    5,876.75x = 8,815.15 × 1,981.19
  4. Step 4: Simplify right side
    5,876.75x = 17,464,487.03
  5. Step 5: Solve for x
    x = 17,464,487.03/5,876.75
  6. Step 6: Final answer
    x = 2,971.79

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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.