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Finding the Fourth Proportional to 7,660.67, 11,491.67 and 2,114.02

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Solution

The fourth proportional to 7,660.67, 11,491.67 and 2,114.02 is: 3,171.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,660.67 : 11,491.67 = 2,114.02 : x
  2. Step 2: Convert to fraction form
    7,660.67/11,491.67 = 2,114.02/x
  3. Step 3: Cross multiply
    7,660.67x = 11,491.67 × 2,114.02
  4. Step 4: Simplify right side
    7,660.67x = 24,293,567.29
  5. Step 5: Solve for x
    x = 24,293,567.29/7,660.67
  6. Step 6: Final answer
    x = 3,171.21

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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.