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Finding the Fourth Proportional to 3,894.92, 5,838.64 and 1,945.28

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Solution

The fourth proportional to 3,894.92, 5,838.64 and 1,945.28 is: 2,916.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,894.92 : 5,838.64 = 1,945.28 : x
  2. Step 2: Convert to fraction form
    3,894.92/5,838.64 = 1,945.28/x
  3. Step 3: Cross multiply
    3,894.92x = 5,838.64 × 1,945.28
  4. Step 4: Simplify right side
    3,894.92x = 11,357,789.62
  5. Step 5: Solve for x
    x = 11,357,789.62/3,894.92
  6. Step 6: Final answer
    x = 2,916.05

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1.5x scale

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.