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Finding the Fourth Proportional to 7,765.95, 10,717.03 and 4,229.18

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Solution

The fourth proportional to 7,765.95, 10,717.03 and 4,229.18 is: 5,836.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,765.95 : 10,717.03 = 4,229.18 : x
  2. Step 2: Convert to fraction form
    7,765.95/10,717.03 = 4,229.18/x
  3. Step 3: Cross multiply
    7,765.95x = 10,717.03 × 4,229.18
  4. Step 4: Simplify right side
    7,765.95x = 45,324,248.94
  5. Step 5: Solve for x
    x = 45,324,248.94/7,765.95
  6. Step 6: Final answer
    x = 5,836.28

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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.