Home / 9,839.40-13,578.32-5,649

Finding the Fourth Proportional to 9,839.40, 13,578.32 and 5,649

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Solution

The fourth proportional to 9,839.40, 13,578.32 and 5,649 is: 7,795.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,839.40 : 13,578.32 = 5,649 : x
  2. Step 2: Convert to fraction form
    9,839.40/13,578.32 = 5,649/x
  3. Step 3: Cross multiply
    9,839.40x = 13,578.32 × 5,649
  4. Step 4: Simplify right side
    9,839.40x = 76,703,929.68
  5. Step 5: Solve for x
    x = 76,703,929.68/9,839.40
  6. Step 6: Final answer
    x = 7,795.59

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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.