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Finding the Fourth Proportional to 12,130.60, 18,195.90 and 9,214.60

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Solution

The fourth proportional to 12,130.60, 18,195.90 and 9,214.60 is: 13,821.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,130.60 : 18,195.90 = 9,214.60 : x
  2. Step 2: Convert to fraction form
    12,130.60/18,195.90 = 9,214.60/x
  3. Step 3: Cross multiply
    12,130.60x = 18,195.90 × 9,214.60
  4. Step 4: Simplify right side
    12,130.60x = 167,667,940.14
  5. Step 5: Solve for x
    x = 167,667,940.14/12,130.60
  6. Step 6: Final answer
    x = 13,821.90

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Similar ratio
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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.