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Finding the Fourth Proportional to 5,092.74, 7,639.38 and 1,806.18

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Solution

The fourth proportional to 5,092.74, 7,639.38 and 1,806.18 is: 2,709.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,092.74 : 7,639.38 = 1,806.18 : x
  2. Step 2: Convert to fraction form
    5,092.74/7,639.38 = 1,806.18/x
  3. Step 3: Cross multiply
    5,092.74x = 7,639.38 × 1,806.18
  4. Step 4: Simplify right side
    5,092.74x = 13,798,095.37
  5. Step 5: Solve for x
    x = 13,798,095.37/5,092.74
  6. Step 6: Final answer
    x = 2,709.37

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.