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Finding the Fourth Proportional to 5,672.05, 7,822.19 and 3,546.90

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Solution

The fourth proportional to 5,672.05, 7,822.19 and 3,546.90 is: 4,891.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,672.05 : 7,822.19 = 3,546.90 : x
  2. Step 2: Convert to fraction form
    5,672.05/7,822.19 = 3,546.90/x
  3. Step 3: Cross multiply
    5,672.05x = 7,822.19 × 3,546.90
  4. Step 4: Simplify right side
    5,672.05x = 27,744,507.98
  5. Step 5: Solve for x
    x = 27,744,507.98/5,672.05
  6. Step 6: Final answer
    x = 4,891.45

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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.