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Finding the Fourth Proportional to 15,786, 21,765.24 and 12,949.92

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Solution

The fourth proportional to 15,786, 21,765.24 and 12,949.92 is: 17,854.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,786 : 21,765.24 = 12,949.92 : x
  2. Step 2: Convert to fraction form
    15,786/21,765.24 = 12,949.92/x
  3. Step 3: Cross multiply
    15,786x = 21,765.24 × 12,949.92
  4. Step 4: Simplify right side
    15,786x = 281,858,116.78
  5. Step 5: Solve for x
    x = 281,858,116.78/15,786
  6. Step 6: Final answer
    x = 17,854.94

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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.