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Finding the Fourth Proportional to 7,833.71, 10,802.55 and 5,181.97

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Solution

The fourth proportional to 7,833.71, 10,802.55 and 5,181.97 is: 7,145.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,833.71 : 10,802.55 = 5,181.97 : x
  2. Step 2: Convert to fraction form
    7,833.71/10,802.55 = 5,181.97/x
  3. Step 3: Cross multiply
    7,833.71x = 10,802.55 × 5,181.97
  4. Step 4: Simplify right side
    7,833.71x = 55,978,464.11
  5. Step 5: Solve for x
    x = 55,978,464.11/7,833.71
  6. Step 6: Final answer
    x = 7,145.85

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