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Finding the Fourth Proportional to 5,602.11, 7,731.50 and 4,202.43

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Solution

The fourth proportional to 5,602.11, 7,731.50 and 4,202.43 is: 5,799.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,602.11 : 7,731.50 = 4,202.43 : x
  2. Step 2: Convert to fraction form
    5,602.11/7,731.50 = 4,202.43/x
  3. Step 3: Cross multiply
    5,602.11x = 7,731.50 × 4,202.43
  4. Step 4: Simplify right side
    5,602.11x = 32,491,066.53
  5. Step 5: Solve for x
    x = 32,491,066.53/5,602.11
  6. Step 6: Final answer
    x = 5,799.79

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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.