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Finding the Fourth Proportional to 5,646, 7,791.48 and 3,438

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Solution

The fourth proportional to 5,646, 7,791.48 and 3,438 is: 4,744.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,646 : 7,791.48 = 3,438 : x
  2. Step 2: Convert to fraction form
    5,646/7,791.48 = 3,438/x
  3. Step 3: Cross multiply
    5,646x = 7,791.48 × 3,438
  4. Step 4: Simplify right side
    5,646x = 26,787,108.24
  5. Step 5: Solve for x
    x = 26,787,108.24/5,646
  6. Step 6: Final answer
    x = 4,744.44

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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.