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Finding the Fourth Proportional to 7,107.67, 10,661.51 and 3,211.17

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Solution

The fourth proportional to 7,107.67, 10,661.51 and 3,211.17 is: 4,816.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,107.67 : 10,661.51 = 3,211.17 : x
  2. Step 2: Convert to fraction form
    7,107.67/10,661.51 = 3,211.17/x
  3. Step 3: Cross multiply
    7,107.67x = 10,661.51 × 3,211.17
  4. Step 4: Simplify right side
    7,107.67x = 34,235,921.07
  5. Step 5: Solve for x
    x = 34,235,921.07/7,107.67
  6. Step 6: Final answer
    x = 4,816.76

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1.5x scale

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.