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Finding the Fourth Proportional to 21,815.20, 30,108 and 12,865.24

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Solution

The fourth proportional to 21,815.20, 30,108 and 12,865.24 is: 17,755.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,815.20 : 30,108 = 12,865.24 : x
  2. Step 2: Convert to fraction form
    21,815.20/30,108 = 12,865.24/x
  3. Step 3: Cross multiply
    21,815.20x = 30,108 × 12,865.24
  4. Step 4: Simplify right side
    21,815.20x = 387,346,645.92
  5. Step 5: Solve for x
    x = 387,346,645.92/21,815.20
  6. Step 6: Final answer
    x = 17,755.81

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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.