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Finding the Fourth Proportional to 10,961.40, 16,442.10 and 8,023.80

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Solution

The fourth proportional to 10,961.40, 16,442.10 and 8,023.80 is: 12,035.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,961.40 : 16,442.10 = 8,023.80 : x
  2. Step 2: Convert to fraction form
    10,961.40/16,442.10 = 8,023.80/x
  3. Step 3: Cross multiply
    10,961.40x = 16,442.10 × 8,023.80
  4. Step 4: Simplify right side
    10,961.40x = 131,928,121.98
  5. Step 5: Solve for x
    x = 131,928,121.98/10,961.40
  6. Step 6: Final answer
    x = 12,035.70

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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.