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Finding the Fourth Proportional to 7,765.86, 10,717.11 and 4,229.13

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Solution

The fourth proportional to 7,765.86, 10,717.11 and 4,229.13 is: 5,836.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,765.86 : 10,717.11 = 4,229.13 : x
  2. Step 2: Convert to fraction form
    7,765.86/10,717.11 = 4,229.13/x
  3. Step 3: Cross multiply
    7,765.86x = 10,717.11 × 4,229.13
  4. Step 4: Simplify right side
    7,765.86x = 45,324,051.41
  5. Step 5: Solve for x
    x = 45,324,051.41/7,765.86
  6. Step 6: Final answer
    x = 5,836.32

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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.