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Finding the Fourth Proportional to 8,523.86, 12,787.80 and 2,680.47

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Solution

The fourth proportional to 8,523.86, 12,787.80 and 2,680.47 is: 4,021.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,523.86 : 12,787.80 = 2,680.47 : x
  2. Step 2: Convert to fraction form
    8,523.86/12,787.80 = 2,680.47/x
  3. Step 3: Cross multiply
    8,523.86x = 12,787.80 × 2,680.47
  4. Step 4: Simplify right side
    8,523.86x = 34,277,324.32
  5. Step 5: Solve for x
    x = 34,277,324.32/8,523.86
  6. Step 6: Final answer
    x = 4,021.34

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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.