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Finding the Fourth Proportional to 10,691.16, 16,014.84 and 7,920.96

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Solution

The fourth proportional to 10,691.16, 16,014.84 and 7,920.96 is: 11,865.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,691.16 : 16,014.84 = 7,920.96 : x
  2. Step 2: Convert to fraction form
    10,691.16/16,014.84 = 7,920.96/x
  3. Step 3: Cross multiply
    10,691.16x = 16,014.84 × 7,920.96
  4. Step 4: Simplify right side
    10,691.16x = 126,852,907.05
  5. Step 5: Solve for x
    x = 126,852,907.05/10,691.16
  6. Step 6: Final answer
    x = 11,865.21

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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.