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Finding the Fourth Proportional to 5,128.54, 7,695.54 and 2,206.66

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Solution

The fourth proportional to 5,128.54, 7,695.54 and 2,206.66 is: 3,311.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,128.54 : 7,695.54 = 2,206.66 : x
  2. Step 2: Convert to fraction form
    5,128.54/7,695.54 = 2,206.66/x
  3. Step 3: Cross multiply
    5,128.54x = 7,695.54 × 2,206.66
  4. Step 4: Simplify right side
    5,128.54x = 16,981,440.30
  5. Step 5: Solve for x
    x = 16,981,440.30/5,128.54
  6. Step 6: Final answer
    x = 3,311.16

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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.