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Finding the Fourth Proportional to 12,133.96, 16,748.02 and 7,422.18

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Solution

The fourth proportional to 12,133.96, 16,748.02 and 7,422.18 is: 10,244.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,133.96 : 16,748.02 = 7,422.18 : x
  2. Step 2: Convert to fraction form
    12,133.96/16,748.02 = 7,422.18/x
  3. Step 3: Cross multiply
    12,133.96x = 16,748.02 × 7,422.18
  4. Step 4: Simplify right side
    12,133.96x = 124,306,819.08
  5. Step 5: Solve for x
    x = 124,306,819.08/12,133.96
  6. Step 6: Final answer
    x = 10,244.54

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.