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Finding the Fourth Proportional to 8,152.86, 12,206.10 and 5,371.14

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Solution

The fourth proportional to 8,152.86, 12,206.10 and 5,371.14 is: 8,041.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,152.86 : 12,206.10 = 5,371.14 : x
  2. Step 2: Convert to fraction form
    8,152.86/12,206.10 = 5,371.14/x
  3. Step 3: Cross multiply
    8,152.86x = 12,206.10 × 5,371.14
  4. Step 4: Simplify right side
    8,152.86x = 65,560,671.95
  5. Step 5: Solve for x
    x = 65,560,671.95/8,152.86
  6. Step 6: Final answer
    x = 8,041.43

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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.