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Finding the Fourth Proportional to 9,212.46, 12,715.16 and 5,434.22

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Solution

The fourth proportional to 9,212.46, 12,715.16 and 5,434.22 is: 7,500.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,212.46 : 12,715.16 = 5,434.22 : x
  2. Step 2: Convert to fraction form
    9,212.46/12,715.16 = 5,434.22/x
  3. Step 3: Cross multiply
    9,212.46x = 12,715.16 × 5,434.22
  4. Step 4: Simplify right side
    9,212.46x = 69,096,976.78
  5. Step 5: Solve for x
    x = 69,096,976.78/9,212.46
  6. Step 6: Final answer
    x = 7,500.38

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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.