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Finding the Fourth Proportional to 2,321.51, 3,481.79 and 1,934.01

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Solution

The fourth proportional to 2,321.51, 3,481.79 and 1,934.01 is: 2,900.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,321.51 : 3,481.79 = 1,934.01 : x
  2. Step 2: Convert to fraction form
    2,321.51/3,481.79 = 1,934.01/x
  3. Step 3: Cross multiply
    2,321.51x = 3,481.79 × 1,934.01
  4. Step 4: Simplify right side
    2,321.51x = 6,733,807.01
  5. Step 5: Solve for x
    x = 6,733,807.01/2,321.51
  6. Step 6: Final answer
    x = 2,900.62

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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.