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Finding the Fourth Proportional to 39,451, 59,186.76 and 11,749

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Solution

The fourth proportional to 39,451, 59,186.76 and 11,749 is: 17,626.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,451 : 59,186.76 = 11,749 : x
  2. Step 2: Convert to fraction form
    39,451/59,186.76 = 11,749/x
  3. Step 3: Cross multiply
    39,451x = 59,186.76 × 11,749
  4. Step 4: Simplify right side
    39,451x = 695,385,243.24
  5. Step 5: Solve for x
    x = 695,385,243.24/39,451
  6. Step 6: Final answer
    x = 17,626.56

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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.