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Finding the Fourth Proportional to 20,108.70, 27,745.80 and 12,149.40

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Solution

The fourth proportional to 20,108.70, 27,745.80 and 12,149.40 is: 16,763.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,108.70 : 27,745.80 = 12,149.40 : x
  2. Step 2: Convert to fraction form
    20,108.70/27,745.80 = 12,149.40/x
  3. Step 3: Cross multiply
    20,108.70x = 27,745.80 × 12,149.40
  4. Step 4: Simplify right side
    20,108.70x = 337,094,822.52
  5. Step 5: Solve for x
    x = 337,094,822.52/20,108.70
  6. Step 6: Final answer
    x = 16,763.63

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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.