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Finding the Fourth Proportional to 2,732.44, 4,098.86 and 784.79

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Solution

The fourth proportional to 2,732.44, 4,098.86 and 784.79 is: 1,177.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,732.44 : 4,098.86 = 784.79 : x
  2. Step 2: Convert to fraction form
    2,732.44/4,098.86 = 784.79/x
  3. Step 3: Cross multiply
    2,732.44x = 4,098.86 × 784.79
  4. Step 4: Simplify right side
    2,732.44x = 3,216,744.34
  5. Step 5: Solve for x
    x = 3,216,744.34/2,732.44
  6. Step 6: Final answer
    x = 1,177.24

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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.