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Finding the Fourth Proportional to 7,765.11, 10,716.17 and 4,621.77

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Solution

The fourth proportional to 7,765.11, 10,716.17 and 4,621.77 is: 6,378.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,765.11 : 10,716.17 = 4,621.77 : x
  2. Step 2: Convert to fraction form
    7,765.11/10,716.17 = 4,621.77/x
  3. Step 3: Cross multiply
    7,765.11x = 10,716.17 × 4,621.77
  4. Step 4: Simplify right side
    7,765.11x = 49,527,649.91
  5. Step 5: Solve for x
    x = 49,527,649.91/7,765.11
  6. Step 6: Final answer
    x = 6,378.23

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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.