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Finding the Fourth Proportional to 7,766.67, 10,717.67 and 4,229.87

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Solution

The fourth proportional to 7,766.67, 10,717.67 and 4,229.87 is: 5,837.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,766.67 : 10,717.67 = 4,229.87 : x
  2. Step 2: Convert to fraction form
    7,766.67/10,717.67 = 4,229.87/x
  3. Step 3: Cross multiply
    7,766.67x = 10,717.67 × 4,229.87
  4. Step 4: Simplify right side
    7,766.67x = 45,334,276.07
  5. Step 5: Solve for x
    x = 45,334,276.07/7,766.67
  6. Step 6: Final answer
    x = 5,837.03

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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.