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Finding the Fourth Proportional to 6,932.40, 10,391.16 and 6,378.66

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Solution

The fourth proportional to 6,932.40, 10,391.16 and 6,378.66 is: 9,561.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,932.40 : 10,391.16 = 6,378.66 : x
  2. Step 2: Convert to fraction form
    6,932.40/10,391.16 = 6,378.66/x
  3. Step 3: Cross multiply
    6,932.40x = 10,391.16 × 6,378.66
  4. Step 4: Simplify right side
    6,932.40x = 66,281,676.65
  5. Step 5: Solve for x
    x = 66,281,676.65/6,932.40
  6. Step 6: Final answer
    x = 9,561.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.