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Finding the Fourth Proportional to 9,645.67, 14,469 and 2,720.71

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Solution

The fourth proportional to 9,645.67, 14,469 and 2,720.71 is: 4,081.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,645.67 : 14,469 = 2,720.71 : x
  2. Step 2: Convert to fraction form
    9,645.67/14,469 = 2,720.71/x
  3. Step 3: Cross multiply
    9,645.67x = 14,469 × 2,720.71
  4. Step 4: Simplify right side
    9,645.67x = 39,365,952.99
  5. Step 5: Solve for x
    x = 39,365,952.99/9,645.67
  6. Step 6: Final answer
    x = 4,081.20

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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.