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Finding the Fourth Proportional to 8,114.09, 12,171.10 and 1,958.09

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Solution

The fourth proportional to 8,114.09, 12,171.10 and 1,958.09 is: 2,937.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,114.09 : 12,171.10 = 1,958.09 : x
  2. Step 2: Convert to fraction form
    8,114.09/12,171.10 = 1,958.09/x
  3. Step 3: Cross multiply
    8,114.09x = 12,171.10 × 1,958.09
  4. Step 4: Simplify right side
    8,114.09x = 23,832,109.20
  5. Step 5: Solve for x
    x = 23,832,109.20/8,114.09
  6. Step 6: Final answer
    x = 2,937.13

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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.