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Finding the Fourth Proportional to 3,894.06, 5,839.20 and 1,945.20

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Solution

The fourth proportional to 3,894.06, 5,839.20 and 1,945.20 is: 2,916.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,894.06 : 5,839.20 = 1,945.20 : x
  2. Step 2: Convert to fraction form
    3,894.06/5,839.20 = 1,945.20/x
  3. Step 3: Cross multiply
    3,894.06x = 5,839.20 × 1,945.20
  4. Step 4: Simplify right side
    3,894.06x = 11,358,411.84
  5. Step 5: Solve for x
    x = 11,358,411.84/3,894.06
  6. Step 6: Final answer
    x = 2,916.86

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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.