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Finding the Fourth Proportional to 7,135.46, 10,700.17 and 2,138.54

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Solution

The fourth proportional to 7,135.46, 10,700.17 and 2,138.54 is: 3,206.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,135.46 : 10,700.17 = 2,138.54 : x
  2. Step 2: Convert to fraction form
    7,135.46/10,700.17 = 2,138.54/x
  3. Step 3: Cross multiply
    7,135.46x = 10,700.17 × 2,138.54
  4. Step 4: Simplify right side
    7,135.46x = 22,882,677.36
  5. Step 5: Solve for x
    x = 22,882,677.36/7,135.46
  6. Step 6: Final answer
    x = 3,206.90

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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.