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Finding the Fourth Proportional to 15,780, 21,777.84 and 9,067.68

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Solution

The fourth proportional to 15,780, 21,777.84 and 9,067.68 is: 12,514.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,780 : 21,777.84 = 9,067.68 : x
  2. Step 2: Convert to fraction form
    15,780/21,777.84 = 9,067.68/x
  3. Step 3: Cross multiply
    15,780x = 21,777.84 × 9,067.68
  4. Step 4: Simplify right side
    15,780x = 197,474,484.21
  5. Step 5: Solve for x
    x = 197,474,484.21/15,780
  6. Step 6: Final answer
    x = 12,514.23

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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.