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Finding the Fourth Proportional to 22,029.80, 32,977.20 and 12,138.80

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Solution

The fourth proportional to 22,029.80, 32,977.20 and 12,138.80 is: 18,171.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,029.80 : 32,977.20 = 12,138.80 : x
  2. Step 2: Convert to fraction form
    22,029.80/32,977.20 = 12,138.80/x
  3. Step 3: Cross multiply
    22,029.80x = 32,977.20 × 12,138.80
  4. Step 4: Simplify right side
    22,029.80x = 400,303,635.36
  5. Step 5: Solve for x
    x = 400,303,635.36/22,029.80
  6. Step 6: Final answer
    x = 18,171.01

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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.