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Finding the Fourth Proportional to 2,921.92, 4,384.02 and 1,278.71

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Solution

The fourth proportional to 2,921.92, 4,384.02 and 1,278.71 is: 1,918.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,921.92 : 4,384.02 = 1,278.71 : x
  2. Step 2: Convert to fraction form
    2,921.92/4,384.02 = 1,278.71/x
  3. Step 3: Cross multiply
    2,921.92x = 4,384.02 × 1,278.71
  4. Step 4: Simplify right side
    2,921.92x = 5,605,901.86
  5. Step 5: Solve for x
    x = 5,605,901.86/2,921.92
  6. Step 6: Final answer
    x = 1,918.57

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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.