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Finding the Fourth Proportional to 12,200.70, 18,301.05 and 7,267.80

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Solution

The fourth proportional to 12,200.70, 18,301.05 and 7,267.80 is: 10,901.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,200.70 : 18,301.05 = 7,267.80 : x
  2. Step 2: Convert to fraction form
    12,200.70/18,301.05 = 7,267.80/x
  3. Step 3: Cross multiply
    12,200.70x = 18,301.05 × 7,267.80
  4. Step 4: Simplify right side
    12,200.70x = 133,008,371.19
  5. Step 5: Solve for x
    x = 133,008,371.19/12,200.70
  6. Step 6: Final answer
    x = 10,901.70

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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.