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Finding the Fourth Proportional to 8,234.64, 12,348 and 3,848.40

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Solution

The fourth proportional to 8,234.64, 12,348 and 3,848.40 is: 5,770.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,234.64 : 12,348 = 3,848.40 : x
  2. Step 2: Convert to fraction form
    8,234.64/12,348 = 3,848.40/x
  3. Step 3: Cross multiply
    8,234.64x = 12,348 × 3,848.40
  4. Step 4: Simplify right side
    8,234.64x = 47,520,043.20
  5. Step 5: Solve for x
    x = 47,520,043.20/8,234.64
  6. Step 6: Final answer
    x = 5,770.75

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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.