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Finding the Fourth Proportional to 10,396.67, 14,347.38 and 5,680.99

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Solution

The fourth proportional to 10,396.67, 14,347.38 and 5,680.99 is: 7,839.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,396.67 : 14,347.38 = 5,680.99 : x
  2. Step 2: Convert to fraction form
    10,396.67/14,347.38 = 5,680.99/x
  3. Step 3: Cross multiply
    10,396.67x = 14,347.38 × 5,680.99
  4. Step 4: Simplify right side
    10,396.67x = 81,507,286.44
  5. Step 5: Solve for x
    x = 81,507,286.44/10,396.67
  6. Step 6: Final answer
    x = 7,839.75

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.