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Finding the Fourth Proportional to 6,486.32, 9,723.25 and 4,139.70

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Solution

The fourth proportional to 6,486.32, 9,723.25 and 4,139.70 is: 6,205.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,486.32 : 9,723.25 = 4,139.70 : x
  2. Step 2: Convert to fraction form
    6,486.32/9,723.25 = 4,139.70/x
  3. Step 3: Cross multiply
    6,486.32x = 9,723.25 × 4,139.70
  4. Step 4: Simplify right side
    6,486.32x = 40,251,338.03
  5. Step 5: Solve for x
    x = 40,251,338.03/6,486.32
  6. Step 6: Final answer
    x = 6,205.57

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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.