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Finding the Fourth Proportional to 8,239.50, 12,348 and 3,794.58

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Solution

The fourth proportional to 8,239.50, 12,348 and 3,794.58 is: 5,686.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,239.50 : 12,348 = 3,794.58 : x
  2. Step 2: Convert to fraction form
    8,239.50/12,348 = 3,794.58/x
  3. Step 3: Cross multiply
    8,239.50x = 12,348 × 3,794.58
  4. Step 4: Simplify right side
    8,239.50x = 46,855,473.84
  5. Step 5: Solve for x
    x = 46,855,473.84/8,239.50
  6. Step 6: Final answer
    x = 5,686.69

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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.