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Finding the Fourth Proportional to 7,211.34, 9,949.38 and 5,694.12

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Solution

The fourth proportional to 7,211.34, 9,949.38 and 5,694.12 is: 7,856.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,211.34 : 9,949.38 = 5,694.12 : x
  2. Step 2: Convert to fraction form
    7,211.34/9,949.38 = 5,694.12/x
  3. Step 3: Cross multiply
    7,211.34x = 9,949.38 × 5,694.12
  4. Step 4: Simplify right side
    7,211.34x = 56,652,963.65
  5. Step 5: Solve for x
    x = 56,652,963.65/7,211.34
  6. Step 6: Final answer
    x = 7,856.09

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.