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Finding the Fourth Proportional to 2,978.96, 4,471.12 and 2,189.32

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Solution

The fourth proportional to 2,978.96, 4,471.12 and 2,189.32 is: 3,285.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,978.96 : 4,471.12 = 2,189.32 : x
  2. Step 2: Convert to fraction form
    2,978.96/4,471.12 = 2,189.32/x
  3. Step 3: Cross multiply
    2,978.96x = 4,471.12 × 2,189.32
  4. Step 4: Simplify right side
    2,978.96x = 9,788,712.44
  5. Step 5: Solve for x
    x = 9,788,712.44/2,978.96
  6. Step 6: Final answer
    x = 3,285.95

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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.