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Finding the Fourth Proportional to 12,149.40, 16,765.86 and 6,771.90

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Solution

The fourth proportional to 12,149.40, 16,765.86 and 6,771.90 is: 9,345.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,149.40 : 16,765.86 = 6,771.90 : x
  2. Step 2: Convert to fraction form
    12,149.40/16,765.86 = 6,771.90/x
  3. Step 3: Cross multiply
    12,149.40x = 16,765.86 × 6,771.90
  4. Step 4: Simplify right side
    12,149.40x = 113,536,727.33
  5. Step 5: Solve for x
    x = 113,536,727.33/12,149.40
  6. Step 6: Final answer
    x = 9,345.05

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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.