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Finding the Fourth Proportional to 9,191.85, 12,696.33 and 7,994.46

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Solution

The fourth proportional to 9,191.85, 12,696.33 and 7,994.46 is: 11,042.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,191.85 : 12,696.33 = 7,994.46 : x
  2. Step 2: Convert to fraction form
    9,191.85/12,696.33 = 7,994.46/x
  3. Step 3: Cross multiply
    9,191.85x = 12,696.33 × 7,994.46
  4. Step 4: Simplify right side
    9,191.85x = 101,500,302.33
  5. Step 5: Solve for x
    x = 101,500,302.33/9,191.85
  6. Step 6: Final answer
    x = 11,042.42

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1.5x scale

Why These Related Problems?

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