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Finding the Fourth Proportional to 5,643.84, 7,781.22 and 3,872.28

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Solution

The fourth proportional to 5,643.84, 7,781.22 and 3,872.28 is: 5,338.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,643.84 : 7,781.22 = 3,872.28 : x
  2. Step 2: Convert to fraction form
    5,643.84/7,781.22 = 3,872.28/x
  3. Step 3: Cross multiply
    5,643.84x = 7,781.22 × 3,872.28
  4. Step 4: Simplify right side
    5,643.84x = 30,131,062.58
  5. Step 5: Solve for x
    x = 30,131,062.58/5,643.84
  6. Step 6: Final answer
    x = 5,338.75

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1.5x scale

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.