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Finding the Fourth Proportional to 12,114.10, 18,149.55 and 9,910.90

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Solution

The fourth proportional to 12,114.10, 18,149.55 and 9,910.90 is: 14,848.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,114.10 : 18,149.55 = 9,910.90 : x
  2. Step 2: Convert to fraction form
    12,114.10/18,149.55 = 9,910.90/x
  3. Step 3: Cross multiply
    12,114.10x = 18,149.55 × 9,910.90
  4. Step 4: Simplify right side
    12,114.10x = 179,878,375.10
  5. Step 5: Solve for x
    x = 179,878,375.10/12,114.10
  6. Step 6: Final answer
    x = 14,848.68

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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.