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Finding the Fourth Proportional to 5,877.78, 8,815.86 and 1,981.68

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Solution

The fourth proportional to 5,877.78, 8,815.86 and 1,981.68 is: 2,972.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,877.78 : 8,815.86 = 1,981.68 : x
  2. Step 2: Convert to fraction form
    5,877.78/8,815.86 = 1,981.68/x
  3. Step 3: Cross multiply
    5,877.78x = 8,815.86 × 1,981.68
  4. Step 4: Simplify right side
    5,877.78x = 17,470,213.44
  5. Step 5: Solve for x
    x = 17,470,213.44/5,877.78
  6. Step 6: Final answer
    x = 2,972.25

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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.