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Finding the Fourth Proportional to 6,863.80, 9,472.22 and 4,209.64

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Solution

The fourth proportional to 6,863.80, 9,472.22 and 4,209.64 is: 5,809.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,863.80 : 9,472.22 = 4,209.64 : x
  2. Step 2: Convert to fraction form
    6,863.80/9,472.22 = 4,209.64/x
  3. Step 3: Cross multiply
    6,863.80x = 9,472.22 × 4,209.64
  4. Step 4: Simplify right side
    6,863.80x = 39,874,636.20
  5. Step 5: Solve for x
    x = 39,874,636.20/6,863.80
  6. Step 6: Final answer
    x = 5,809.41

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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.