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Finding the Fourth Proportional to 2,732.06, 4,098.09 and 784.28

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Solution

The fourth proportional to 2,732.06, 4,098.09 and 784.28 is: 1,176.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,732.06 : 4,098.09 = 784.28 : x
  2. Step 2: Convert to fraction form
    2,732.06/4,098.09 = 784.28/x
  3. Step 3: Cross multiply
    2,732.06x = 4,098.09 × 784.28
  4. Step 4: Simplify right side
    2,732.06x = 3,214,063.21
  5. Step 5: Solve for x
    x = 3,214,063.21/2,732.06
  6. Step 6: Final answer
    x = 1,176.42

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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.