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Finding the Fourth Proportional to 8,609.89, 12,917.16 and 3,680.23

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Solution

The fourth proportional to 8,609.89, 12,917.16 and 3,680.23 is: 5,521.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,609.89 : 12,917.16 = 3,680.23 : x
  2. Step 2: Convert to fraction form
    8,609.89/12,917.16 = 3,680.23/x
  3. Step 3: Cross multiply
    8,609.89x = 12,917.16 × 3,680.23
  4. Step 4: Simplify right side
    8,609.89x = 47,538,119.75
  5. Step 5: Solve for x
    x = 47,538,119.75/8,609.89
  6. Step 6: Final answer
    x = 5,521.34

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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.