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Finding the Fourth Proportional to 28,933, 39,927.78 and 15,685

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Solution

The fourth proportional to 28,933, 39,927.78 and 15,685 is: 21,645.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,933 : 39,927.78 = 15,685 : x
  2. Step 2: Convert to fraction form
    28,933/39,927.78 = 15,685/x
  3. Step 3: Cross multiply
    28,933x = 39,927.78 × 15,685
  4. Step 4: Simplify right side
    28,933x = 626,267,229.30
  5. Step 5: Solve for x
    x = 626,267,229.30/28,933
  6. Step 6: Final answer
    x = 21,645.43

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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.