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Finding the Fourth Proportional to 3,946.17, 5,916.13 and 1,970.78

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Solution

The fourth proportional to 3,946.17, 5,916.13 and 1,970.78 is: 2,954.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,946.17 : 5,916.13 = 1,970.78 : x
  2. Step 2: Convert to fraction form
    3,946.17/5,916.13 = 1,970.78/x
  3. Step 3: Cross multiply
    3,946.17x = 5,916.13 × 1,970.78
  4. Step 4: Simplify right side
    3,946.17x = 11,659,390.68
  5. Step 5: Solve for x
    x = 11,659,390.68/3,946.17
  6. Step 6: Final answer
    x = 2,954.61

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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.