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Finding the Fourth Proportional to 8,978.44, 13,454.68 and 5,074.56

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Solution

The fourth proportional to 8,978.44, 13,454.68 and 5,074.56 is: 7,604.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,978.44 : 13,454.68 = 5,074.56 : x
  2. Step 2: Convert to fraction form
    8,978.44/13,454.68 = 5,074.56/x
  3. Step 3: Cross multiply
    8,978.44x = 13,454.68 × 5,074.56
  4. Step 4: Simplify right side
    8,978.44x = 68,276,580.94
  5. Step 5: Solve for x
    x = 68,276,580.94/8,978.44
  6. Step 6: Final answer
    x = 7,604.50

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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.