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Finding the Fourth Proportional to 2,802.72, 4,198.68 and 2,516.52

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Solution

The fourth proportional to 2,802.72, 4,198.68 and 2,516.52 is: 3,769.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,802.72 : 4,198.68 = 2,516.52 : x
  2. Step 2: Convert to fraction form
    2,802.72/4,198.68 = 2,516.52/x
  3. Step 3: Cross multiply
    2,802.72x = 4,198.68 × 2,516.52
  4. Step 4: Simplify right side
    2,802.72x = 10,566,062.19
  5. Step 5: Solve for x
    x = 10,566,062.19/2,802.72
  6. Step 6: Final answer
    x = 3,769.93

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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.