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Finding the Fourth Proportional to 32,839, 49,258.50 and 8,215

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Solution

The fourth proportional to 32,839, 49,258.50 and 8,215 is: 12,322.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,839 : 49,258.50 = 8,215 : x
  2. Step 2: Convert to fraction form
    32,839/49,258.50 = 8,215/x
  3. Step 3: Cross multiply
    32,839x = 49,258.50 × 8,215
  4. Step 4: Simplify right side
    32,839x = 404,658,577.50
  5. Step 5: Solve for x
    x = 404,658,577.50/32,839
  6. Step 6: Final answer
    x = 12,322.50

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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.