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Finding the Fourth Proportional to 5,326, 7,990.92 and 3,862.60

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Solution

The fourth proportional to 5,326, 7,990.92 and 3,862.60 is: 5,795.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,326 : 7,990.92 = 3,862.60 : x
  2. Step 2: Convert to fraction form
    5,326/7,990.92 = 3,862.60/x
  3. Step 3: Cross multiply
    5,326x = 7,990.92 × 3,862.60
  4. Step 4: Simplify right side
    5,326x = 30,865,727.59
  5. Step 5: Solve for x
    x = 30,865,727.59/5,326
  6. Step 6: Final answer
    x = 5,795.29

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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.