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Finding the Fourth Proportional to 6,843.68, 10,211.77 and 6,425.72

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Solution

The fourth proportional to 6,843.68, 10,211.77 and 6,425.72 is: 9,588.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,843.68 : 10,211.77 = 6,425.72 : x
  2. Step 2: Convert to fraction form
    6,843.68/10,211.77 = 6,425.72/x
  3. Step 3: Cross multiply
    6,843.68x = 10,211.77 × 6,425.72
  4. Step 4: Simplify right side
    6,843.68x = 65,617,974.72
  5. Step 5: Solve for x
    x = 65,617,974.72/6,843.68
  6. Step 6: Final answer
    x = 9,588.11

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.