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Finding the Fourth Proportional to 6,925, 9,556.54 and 3,781.22

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Solution

The fourth proportional to 6,925, 9,556.54 and 3,781.22 is: 5,218.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,925 : 9,556.54 = 3,781.22 : x
  2. Step 2: Convert to fraction form
    6,925/9,556.54 = 3,781.22/x
  3. Step 3: Cross multiply
    6,925x = 9,556.54 × 3,781.22
  4. Step 4: Simplify right side
    6,925x = 36,135,380.18
  5. Step 5: Solve for x
    x = 36,135,380.18/6,925
  6. Step 6: Final answer
    x = 5,218.11

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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.