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Finding the Fourth Proportional to 2,431, 3,640.38 and 1,991.22

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Solution

The fourth proportional to 2,431, 3,640.38 and 1,991.22 is: 2,981.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,431 : 3,640.38 = 1,991.22 : x
  2. Step 2: Convert to fraction form
    2,431/3,640.38 = 1,991.22/x
  3. Step 3: Cross multiply
    2,431x = 3,640.38 × 1,991.22
  4. Step 4: Simplify right side
    2,431x = 7,248,797.46
  5. Step 5: Solve for x
    x = 7,248,797.46/2,431
  6. Step 6: Final answer
    x = 2,981.82

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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.