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Finding the Fourth Proportional to 40,933, 61,418.94 and 13,231

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Solution

The fourth proportional to 40,933, 61,418.94 and 13,231 is: 19,852.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,933 : 61,418.94 = 13,231 : x
  2. Step 2: Convert to fraction form
    40,933/61,418.94 = 13,231/x
  3. Step 3: Cross multiply
    40,933x = 61,418.94 × 13,231
  4. Step 4: Simplify right side
    40,933x = 812,633,995.14
  5. Step 5: Solve for x
    x = 812,633,995.14/40,933
  6. Step 6: Final answer
    x = 19,852.78

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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.