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Finding the Fourth Proportional to 3,971.84, 5,945.42 and 2,933

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Solution

The fourth proportional to 3,971.84, 5,945.42 and 2,933 is: 4,390.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,971.84 : 5,945.42 = 2,933 : x
  2. Step 2: Convert to fraction form
    3,971.84/5,945.42 = 2,933/x
  3. Step 3: Cross multiply
    3,971.84x = 5,945.42 × 2,933
  4. Step 4: Simplify right side
    3,971.84x = 17,437,916.86
  5. Step 5: Solve for x
    x = 17,437,916.86/3,971.84
  6. Step 6: Final answer
    x = 4,390.39

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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.