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Finding the Fourth Proportional to 7,766.72, 10,718.10 and 4,229.94

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Solution

The fourth proportional to 7,766.72, 10,718.10 and 4,229.94 is: 5,837.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,766.72 : 10,718.10 = 4,229.94 : x
  2. Step 2: Convert to fraction form
    7,766.72/10,718.10 = 4,229.94/x
  3. Step 3: Cross multiply
    7,766.72x = 10,718.10 × 4,229.94
  4. Step 4: Simplify right side
    7,766.72x = 45,336,919.91
  5. Step 5: Solve for x
    x = 45,336,919.91/7,766.72
  6. Step 6: Final answer
    x = 5,837.33

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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.