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Finding the Fourth Proportional to 15,076.50, 20,808 and 8,787.66

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Solution

The fourth proportional to 15,076.50, 20,808 and 8,787.66 is: 12,128.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,076.50 : 20,808 = 8,787.66 : x
  2. Step 2: Convert to fraction form
    15,076.50/20,808 = 8,787.66/x
  3. Step 3: Cross multiply
    15,076.50x = 20,808 × 8,787.66
  4. Step 4: Simplify right side
    15,076.50x = 182,853,629.28
  5. Step 5: Solve for x
    x = 182,853,629.28/15,076.50
  6. Step 6: Final answer
    x = 12,128.39

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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.