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Finding the Fourth Proportional to 12,609.57, 17,401.06 and 6,944.20

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Solution

The fourth proportional to 12,609.57, 17,401.06 and 6,944.20 is: 9,582.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,609.57 : 17,401.06 = 6,944.20 : x
  2. Step 2: Convert to fraction form
    12,609.57/17,401.06 = 6,944.20/x
  3. Step 3: Cross multiply
    12,609.57x = 17,401.06 × 6,944.20
  4. Step 4: Simplify right side
    12,609.57x = 120,836,440.85
  5. Step 5: Solve for x
    x = 120,836,440.85/12,609.57
  6. Step 6: Final answer
    x = 9,582.92

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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.