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Finding the Fourth Proportional to 8,133.31, 12,200.32 and 4,839.14

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Solution

The fourth proportional to 8,133.31, 12,200.32 and 4,839.14 is: 7,258.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,133.31 : 12,200.32 = 4,839.14 : x
  2. Step 2: Convert to fraction form
    8,133.31/12,200.32 = 4,839.14/x
  3. Step 3: Cross multiply
    8,133.31x = 12,200.32 × 4,839.14
  4. Step 4: Simplify right side
    8,133.31x = 59,039,093.07
  5. Step 5: Solve for x
    x = 59,039,093.07/8,133.31
  6. Step 6: Final answer
    x = 7,258.92

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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.