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Finding the Fourth Proportional to 28,933, 39,930 and 16,360.18

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Solution

The fourth proportional to 28,933, 39,930 and 16,360.18 is: 22,578.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,933 : 39,930 = 16,360.18 : x
  2. Step 2: Convert to fraction form
    28,933/39,930 = 16,360.18/x
  3. Step 3: Cross multiply
    28,933x = 39,930 × 16,360.18
  4. Step 4: Simplify right side
    28,933x = 653,261,987.40
  5. Step 5: Solve for x
    x = 653,261,987.40/28,933
  6. Step 6: Final answer
    x = 22,578.44

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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.