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Finding the Fourth Proportional to 8,978.80, 13,470.14 and 2,738.65

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Solution

The fourth proportional to 8,978.80, 13,470.14 and 2,738.65 is: 4,108.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,978.80 : 13,470.14 = 2,738.65 : x
  2. Step 2: Convert to fraction form
    8,978.80/13,470.14 = 2,738.65/x
  3. Step 3: Cross multiply
    8,978.80x = 13,470.14 × 2,738.65
  4. Step 4: Simplify right side
    8,978.80x = 36,889,998.91
  5. Step 5: Solve for x
    x = 36,889,998.91/8,978.80
  6. Step 6: Final answer
    x = 4,108.57

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.