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Finding the Fourth Proportional to 7,128.92, 10,690.14 and 2,197.64

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Solution

The fourth proportional to 7,128.92, 10,690.14 and 2,197.64 is: 3,295.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,128.92 : 10,690.14 = 2,197.64 : x
  2. Step 2: Convert to fraction form
    7,128.92/10,690.14 = 2,197.64/x
  3. Step 3: Cross multiply
    7,128.92x = 10,690.14 × 2,197.64
  4. Step 4: Simplify right side
    7,128.92x = 23,493,079.27
  5. Step 5: Solve for x
    x = 23,493,079.27/7,128.92
  6. Step 6: Final answer
    x = 3,295.46

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Why These Related Problems?

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