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Finding the Fourth Proportional to 5,672.75, 7,824.38 and 3,549.42

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Solution

The fourth proportional to 5,672.75, 7,824.38 and 3,549.42 is: 4,895.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,672.75 : 7,824.38 = 3,549.42 : x
  2. Step 2: Convert to fraction form
    5,672.75/7,824.38 = 3,549.42/x
  3. Step 3: Cross multiply
    5,672.75x = 7,824.38 × 3,549.42
  4. Step 4: Simplify right side
    5,672.75x = 27,771,993.11
  5. Step 5: Solve for x
    x = 27,771,993.11/5,672.75
  6. Step 6: Final answer
    x = 4,895.69

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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.