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Finding the Fourth Proportional to 2,516.48, 3,474.60 and 2,166.56

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Solution

The fourth proportional to 2,516.48, 3,474.60 and 2,166.56 is: 2,991.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,516.48 : 3,474.60 = 2,166.56 : x
  2. Step 2: Convert to fraction form
    2,516.48/3,474.60 = 2,166.56/x
  3. Step 3: Cross multiply
    2,516.48x = 3,474.60 × 2,166.56
  4. Step 4: Simplify right side
    2,516.48x = 7,527,929.38
  5. Step 5: Solve for x
    x = 7,527,929.38/2,516.48
  6. Step 6: Final answer
    x = 2,991.45

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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.