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Finding the Fourth Proportional to 39,659, 59,498.22 and 11,957

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Solution

The fourth proportional to 39,659, 59,498.22 and 11,957 is: 17,938.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,659 : 59,498.22 = 11,957 : x
  2. Step 2: Convert to fraction form
    39,659/59,498.22 = 11,957/x
  3. Step 3: Cross multiply
    39,659x = 59,498.22 × 11,957
  4. Step 4: Simplify right side
    39,659x = 711,420,216.54
  5. Step 5: Solve for x
    x = 711,420,216.54/39,659
  6. Step 6: Final answer
    x = 17,938.43

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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.