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Finding the Fourth Proportional to 3,965.76, 5,916.24 and 3,913.92

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Solution

The fourth proportional to 3,965.76, 5,916.24 and 3,913.92 is: 5,838.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,965.76 : 5,916.24 = 3,913.92 : x
  2. Step 2: Convert to fraction form
    3,965.76/5,916.24 = 3,913.92/x
  3. Step 3: Cross multiply
    3,965.76x = 5,916.24 × 3,913.92
  4. Step 4: Simplify right side
    3,965.76x = 23,155,690.06
  5. Step 5: Solve for x
    x = 23,155,690.06/3,965.76
  6. Step 6: Final answer
    x = 5,838.90

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.