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Finding the Fourth Proportional to 5,979.80, 8,970.53 and 2,647.78

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Solution

The fourth proportional to 5,979.80, 8,970.53 and 2,647.78 is: 3,972.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,979.80 : 8,970.53 = 2,647.78 : x
  2. Step 2: Convert to fraction form
    5,979.80/8,970.53 = 2,647.78/x
  3. Step 3: Cross multiply
    5,979.80x = 8,970.53 × 2,647.78
  4. Step 4: Simplify right side
    5,979.80x = 23,751,989.92
  5. Step 5: Solve for x
    x = 23,751,989.92/5,979.80
  6. Step 6: Final answer
    x = 3,972.04

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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.