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Finding the Fourth Proportional to 5,806, 8,012.46 and 3,711.52

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Solution

The fourth proportional to 5,806, 8,012.46 and 3,711.52 is: 5,122.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,806 : 8,012.46 = 3,711.52 : x
  2. Step 2: Convert to fraction form
    5,806/8,012.46 = 3,711.52/x
  3. Step 3: Cross multiply
    5,806x = 8,012.46 × 3,711.52
  4. Step 4: Simplify right side
    5,806x = 29,738,405.54
  5. Step 5: Solve for x
    x = 29,738,405.54/5,806
  6. Step 6: Final answer
    x = 5,122.01

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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.