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Finding the Fourth Proportional to 2,732.32, 4,098 and 784.48

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Solution

The fourth proportional to 2,732.32, 4,098 and 784.48 is: 1,176.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,732.32 : 4,098 = 784.48 : x
  2. Step 2: Convert to fraction form
    2,732.32/4,098 = 784.48/x
  3. Step 3: Cross multiply
    2,732.32x = 4,098 × 784.48
  4. Step 4: Simplify right side
    2,732.32x = 3,214,799.04
  5. Step 5: Solve for x
    x = 3,214,799.04/2,732.32
  6. Step 6: Final answer
    x = 1,176.58

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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.