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Finding the Fourth Proportional to 22,009.89, 32,958.48 and 12,138.22

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Solution

The fourth proportional to 22,009.89, 32,958.48 and 12,138.22 is: 18,176.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,009.89 : 32,958.48 = 12,138.22 : x
  2. Step 2: Convert to fraction form
    22,009.89/32,958.48 = 12,138.22/x
  3. Step 3: Cross multiply
    22,009.89x = 32,958.48 × 12,138.22
  4. Step 4: Simplify right side
    22,009.89x = 400,057,281.11
  5. Step 5: Solve for x
    x = 400,057,281.11/22,009.89
  6. Step 6: Final answer
    x = 18,176.25

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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.