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Finding the Fourth Proportional to 5,978.68, 8,970.54 and 2,080.96

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Solution

The fourth proportional to 5,978.68, 8,970.54 and 2,080.96 is: 3,122.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,978.68 : 8,970.54 = 2,080.96 : x
  2. Step 2: Convert to fraction form
    5,978.68/8,970.54 = 2,080.96/x
  3. Step 3: Cross multiply
    5,978.68x = 8,970.54 × 2,080.96
  4. Step 4: Simplify right side
    5,978.68x = 18,667,334.92
  5. Step 5: Solve for x
    x = 18,667,334.92/5,978.68
  6. Step 6: Final answer
    x = 3,122.32

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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.