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Finding the Fourth Proportional to 7,102.76, 10,658.73 and 3,206.96

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Solution

The fourth proportional to 7,102.76, 10,658.73 and 3,206.96 is: 4,812.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,102.76 : 10,658.73 = 3,206.96 : x
  2. Step 2: Convert to fraction form
    7,102.76/10,658.73 = 3,206.96/x
  3. Step 3: Cross multiply
    7,102.76x = 10,658.73 × 3,206.96
  4. Step 4: Simplify right side
    7,102.76x = 34,182,120.76
  5. Step 5: Solve for x
    x = 34,182,120.76/7,102.76
  6. Step 6: Final answer
    x = 4,812.51

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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.