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Finding the Fourth Proportional to 8,609.49, 11,881.49 and 6,743.25

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Solution

The fourth proportional to 8,609.49, 11,881.49 and 6,743.25 is: 9,305.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,609.49 : 11,881.49 = 6,743.25 : x
  2. Step 2: Convert to fraction form
    8,609.49/11,881.49 = 6,743.25/x
  3. Step 3: Cross multiply
    8,609.49x = 11,881.49 × 6,743.25
  4. Step 4: Simplify right side
    8,609.49x = 80,119,823.73
  5. Step 5: Solve for x
    x = 80,119,823.73/8,609.49
  6. Step 6: Final answer
    x = 9,305.99

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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.