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Finding the Fourth Proportional to 12,234.96, 18,339.88 and 4,836.40

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Solution

The fourth proportional to 12,234.96, 18,339.88 and 4,836.40 is: 7,249.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,234.96 : 18,339.88 = 4,836.40 : x
  2. Step 2: Convert to fraction form
    12,234.96/18,339.88 = 4,836.40/x
  3. Step 3: Cross multiply
    12,234.96x = 18,339.88 × 4,836.40
  4. Step 4: Simplify right side
    12,234.96x = 88,698,995.63
  5. Step 5: Solve for x
    x = 88,698,995.63/12,234.96
  6. Step 6: Final answer
    x = 7,249.64

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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.