Home / 6,916-9,540.79-4,678.66

Finding the Fourth Proportional to 6,916, 9,540.79 and 4,678.66

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Solution

The fourth proportional to 6,916, 9,540.79 and 4,678.66 is: 6,454.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,916 : 9,540.79 = 4,678.66 : x
  2. Step 2: Convert to fraction form
    6,916/9,540.79 = 4,678.66/x
  3. Step 3: Cross multiply
    6,916x = 9,540.79 × 4,678.66
  4. Step 4: Simplify right side
    6,916x = 44,638,112.54
  5. Step 5: Solve for x
    x = 44,638,112.54/6,916
  6. Step 6: Final answer
    x = 6,454.33

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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.