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Finding the Fourth Proportional to 9,199.80, 13,799.70 and 7,741.80

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Solution

The fourth proportional to 9,199.80, 13,799.70 and 7,741.80 is: 11,612.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,199.80 : 13,799.70 = 7,741.80 : x
  2. Step 2: Convert to fraction form
    9,199.80/13,799.70 = 7,741.80/x
  3. Step 3: Cross multiply
    9,199.80x = 13,799.70 × 7,741.80
  4. Step 4: Simplify right side
    9,199.80x = 106,834,517.46
  5. Step 5: Solve for x
    x = 106,834,517.46/9,199.80
  6. Step 6: Final answer
    x = 11,612.70

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Similar ratio
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1.5x scale

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.