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Finding the Fourth Proportional to 5,878.80, 8,815.68 and 1,981.44

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Solution

The fourth proportional to 5,878.80, 8,815.68 and 1,981.44 is: 2,971.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,878.80 : 8,815.68 = 1,981.44 : x
  2. Step 2: Convert to fraction form
    5,878.80/8,815.68 = 1,981.44/x
  3. Step 3: Cross multiply
    5,878.80x = 8,815.68 × 1,981.44
  4. Step 4: Simplify right side
    5,878.80x = 17,467,740.98
  5. Step 5: Solve for x
    x = 17,467,740.98/5,878.80
  6. Step 6: Final answer
    x = 2,971.31

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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.