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Finding the Fourth Proportional to 5,122.09, 7,068 and 2,883.61

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Solution

The fourth proportional to 5,122.09, 7,068 and 2,883.61 is: 3,979.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,122.09 : 7,068 = 2,883.61 : x
  2. Step 2: Convert to fraction form
    5,122.09/7,068 = 2,883.61/x
  3. Step 3: Cross multiply
    5,122.09x = 7,068 × 2,883.61
  4. Step 4: Simplify right side
    5,122.09x = 20,381,355.48
  5. Step 5: Solve for x
    x = 20,381,355.48/5,122.09
  6. Step 6: Final answer
    x = 3,979.11

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.