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Finding the Fourth Proportional to 8,117.70, 12,200.85 and 7,971.90

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Solution

The fourth proportional to 8,117.70, 12,200.85 and 7,971.90 is: 11,981.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,117.70 : 12,200.85 = 7,971.90 : x
  2. Step 2: Convert to fraction form
    8,117.70/12,200.85 = 7,971.90/x
  3. Step 3: Cross multiply
    8,117.70x = 12,200.85 × 7,971.90
  4. Step 4: Simplify right side
    8,117.70x = 97,263,956.12
  5. Step 5: Solve for x
    x = 97,263,956.12/8,117.70
  6. Step 6: Final answer
    x = 11,981.71

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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.