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Finding the Fourth Proportional to 12,609.43, 17,400.85 and 6,944.07

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Solution

The fourth proportional to 12,609.43, 17,400.85 and 6,944.07 is: 9,582.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,609.43 : 17,400.85 = 6,944.07 : x
  2. Step 2: Convert to fraction form
    12,609.43/17,400.85 = 6,944.07/x
  3. Step 3: Cross multiply
    12,609.43x = 17,400.85 × 6,944.07
  4. Step 4: Simplify right side
    12,609.43x = 120,832,720.46
  5. Step 5: Solve for x
    x = 120,832,720.46/12,609.43
  6. Step 6: Final answer
    x = 9,582.73

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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.