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Finding the Fourth Proportional to 39,400, 59,109.72 and 11,698

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Solution

The fourth proportional to 39,400, 59,109.72 and 11,698 is: 17,549.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,400 : 59,109.72 = 11,698 : x
  2. Step 2: Convert to fraction form
    39,400/59,109.72 = 11,698/x
  3. Step 3: Cross multiply
    39,400x = 59,109.72 × 11,698
  4. Step 4: Simplify right side
    39,400x = 691,465,504.56
  5. Step 5: Solve for x
    x = 691,465,504.56/39,400
  6. Step 6: Final answer
    x = 17,549.89

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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.