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Finding the Fourth Proportional to 9,799.76, 13,516.88 and 8,180.12

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Solution

The fourth proportional to 9,799.76, 13,516.88 and 8,180.12 is: 11,282.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,799.76 : 13,516.88 = 8,180.12 : x
  2. Step 2: Convert to fraction form
    9,799.76/13,516.88 = 8,180.12/x
  3. Step 3: Cross multiply
    9,799.76x = 13,516.88 × 8,180.12
  4. Step 4: Simplify right side
    9,799.76x = 110,569,700.43
  5. Step 5: Solve for x
    x = 110,569,700.43/9,799.76
  6. Step 6: Final answer
    x = 11,282.90

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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.