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Finding the Fourth Proportional to 6,863.69, 9,472.07 and 4,212.56

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Solution

The fourth proportional to 6,863.69, 9,472.07 and 4,212.56 is: 5,813.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,863.69 : 9,472.07 = 4,212.56 : x
  2. Step 2: Convert to fraction form
    6,863.69/9,472.07 = 4,212.56/x
  3. Step 3: Cross multiply
    6,863.69x = 9,472.07 × 4,212.56
  4. Step 4: Simplify right side
    6,863.69x = 39,901,642.14
  5. Step 5: Solve for x
    x = 39,901,642.14/6,863.69
  6. Step 6: Final answer
    x = 5,813.44

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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.