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Finding the Fourth Proportional to 5,978.28, 8,971.20 and 2,280.90

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Solution

The fourth proportional to 5,978.28, 8,971.20 and 2,280.90 is: 3,422.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,978.28 : 8,971.20 = 2,280.90 : x
  2. Step 2: Convert to fraction form
    5,978.28/8,971.20 = 2,280.90/x
  3. Step 3: Cross multiply
    5,978.28x = 8,971.20 × 2,280.90
  4. Step 4: Simplify right side
    5,978.28x = 20,462,410.08
  5. Step 5: Solve for x
    x = 20,462,410.08/5,978.28
  6. Step 6: Final answer
    x = 3,422.79

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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.