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Finding the Fourth Proportional to 7,229.62, 9,969.78 and 5,808.77

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Solution

The fourth proportional to 7,229.62, 9,969.78 and 5,808.77 is: 8,010.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,229.62 : 9,969.78 = 5,808.77 : x
  2. Step 2: Convert to fraction form
    7,229.62/9,969.78 = 5,808.77/x
  3. Step 3: Cross multiply
    7,229.62x = 9,969.78 × 5,808.77
  4. Step 4: Simplify right side
    7,229.62x = 57,912,158.97
  5. Step 5: Solve for x
    x = 57,912,158.97/7,229.62
  6. Step 6: Final answer
    x = 8,010.40

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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.