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Finding the Fourth Proportional to 8,311.40, 12,402.13 and 8,113.80

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Solution

The fourth proportional to 8,311.40, 12,402.13 and 8,113.80 is: 12,107.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,311.40 : 12,402.13 = 8,113.80 : x
  2. Step 2: Convert to fraction form
    8,311.40/12,402.13 = 8,113.80/x
  3. Step 3: Cross multiply
    8,311.40x = 12,402.13 × 8,113.80
  4. Step 4: Simplify right side
    8,311.40x = 100,628,402.39
  5. Step 5: Solve for x
    x = 100,628,402.39/8,311.40
  6. Step 6: Final answer
    x = 12,107.27

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.