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Finding the Fourth Proportional to 23,028, 31,780.08 and 13,092

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Solution

The fourth proportional to 23,028, 31,780.08 and 13,092 is: 18,067.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,028 : 31,780.08 = 13,092 : x
  2. Step 2: Convert to fraction form
    23,028/31,780.08 = 13,092/x
  3. Step 3: Cross multiply
    23,028x = 31,780.08 × 13,092
  4. Step 4: Simplify right side
    23,028x = 416,064,807.36
  5. Step 5: Solve for x
    x = 416,064,807.36/23,028
  6. Step 6: Final answer
    x = 18,067.78

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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.