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Finding the Fourth Proportional to 15,788.80, 23,661.60 and 12,872.80

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Solution

The fourth proportional to 15,788.80, 23,661.60 and 12,872.80 is: 19,291.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,788.80 : 23,661.60 = 12,872.80 : x
  2. Step 2: Convert to fraction form
    15,788.80/23,661.60 = 12,872.80/x
  3. Step 3: Cross multiply
    15,788.80x = 23,661.60 × 12,872.80
  4. Step 4: Simplify right side
    15,788.80x = 304,591,044.48
  5. Step 5: Solve for x
    x = 304,591,044.48/15,788.80
  6. Step 6: Final answer
    x = 19,291.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.