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Finding the Fourth Proportional to 9,960.75, 13,740.66 and 8,074.46

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Solution

The fourth proportional to 9,960.75, 13,740.66 and 8,074.46 is: 11,138.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,960.75 : 13,740.66 = 8,074.46 : x
  2. Step 2: Convert to fraction form
    9,960.75/13,740.66 = 8,074.46/x
  3. Step 3: Cross multiply
    9,960.75x = 13,740.66 × 8,074.46
  4. Step 4: Simplify right side
    9,960.75x = 110,948,340.84
  5. Step 5: Solve for x
    x = 110,948,340.84/9,960.75
  6. Step 6: Final answer
    x = 11,138.55

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.