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Finding the Fourth Proportional to 7,211.42, 9,954.24 and 4,228.22

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Solution

The fourth proportional to 7,211.42, 9,954.24 and 4,228.22 is: 5,836.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,211.42 : 9,954.24 = 4,228.22 : x
  2. Step 2: Convert to fraction form
    7,211.42/9,954.24 = 4,228.22/x
  3. Step 3: Cross multiply
    7,211.42x = 9,954.24 × 4,228.22
  4. Step 4: Simplify right side
    7,211.42x = 42,088,716.65
  5. Step 5: Solve for x
    x = 42,088,716.65/7,211.42
  6. Step 6: Final answer
    x = 5,836.40

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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.