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Finding the Fourth Proportional to 3,243.14, 4,864.22 and 902.90

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Solution

The fourth proportional to 3,243.14, 4,864.22 and 902.90 is: 1,354.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,243.14 : 4,864.22 = 902.90 : x
  2. Step 2: Convert to fraction form
    3,243.14/4,864.22 = 902.90/x
  3. Step 3: Cross multiply
    3,243.14x = 4,864.22 × 902.90
  4. Step 4: Simplify right side
    3,243.14x = 4,391,894.33
  5. Step 5: Solve for x
    x = 4,391,894.33/3,243.14
  6. Step 6: Final answer
    x = 1,354.21

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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.