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Finding the Fourth Proportional to 2,688.92, 3,708.08 and 2,099.24

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Solution

The fourth proportional to 2,688.92, 3,708.08 and 2,099.24 is: 2,894.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,688.92 : 3,708.08 = 2,099.24 : x
  2. Step 2: Convert to fraction form
    2,688.92/3,708.08 = 2,099.24/x
  3. Step 3: Cross multiply
    2,688.92x = 3,708.08 × 2,099.24
  4. Step 4: Simplify right side
    2,688.92x = 7,784,149.86
  5. Step 5: Solve for x
    x = 7,784,149.86/2,688.92
  6. Step 6: Final answer
    x = 2,894.90

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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.