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Finding the Fourth Proportional to 8,236, 12,354.15 and 2,393.20

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Solution

The fourth proportional to 8,236, 12,354.15 and 2,393.20 is: 3,589.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,236 : 12,354.15 = 2,393.20 : x
  2. Step 2: Convert to fraction form
    8,236/12,354.15 = 2,393.20/x
  3. Step 3: Cross multiply
    8,236x = 12,354.15 × 2,393.20
  4. Step 4: Simplify right side
    8,236x = 29,565,951.78
  5. Step 5: Solve for x
    x = 29,565,951.78/8,236
  6. Step 6: Final answer
    x = 3,589.84

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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.