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Finding the Fourth Proportional to 4,942, 7,414.08 and 1,864

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Solution

The fourth proportional to 4,942, 7,414.08 and 1,864 is: 2,796.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,942 : 7,414.08 = 1,864 : x
  2. Step 2: Convert to fraction form
    4,942/7,414.08 = 1,864/x
  3. Step 3: Cross multiply
    4,942x = 7,414.08 × 1,864
  4. Step 4: Simplify right side
    4,942x = 13,819,845.12
  5. Step 5: Solve for x
    x = 13,819,845.12/4,942
  6. Step 6: Final answer
    x = 2,796.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.