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Finding the Fourth Proportional to 6,457.67, 9,690.14 and 2,759.61

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Solution

The fourth proportional to 6,457.67, 9,690.14 and 2,759.61 is: 4,140.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,457.67 : 9,690.14 = 2,759.61 : x
  2. Step 2: Convert to fraction form
    6,457.67/9,690.14 = 2,759.61/x
  3. Step 3: Cross multiply
    6,457.67x = 9,690.14 × 2,759.61
  4. Step 4: Simplify right side
    6,457.67x = 26,741,014.14
  5. Step 5: Solve for x
    x = 26,741,014.14/6,457.67
  6. Step 6: Final answer
    x = 4,140.97

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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.