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Finding the Fourth Proportional to 2,783.28, 4,174.80 and 835.44

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Solution

The fourth proportional to 2,783.28, 4,174.80 and 835.44 is: 1,253.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,783.28 : 4,174.80 = 835.44 : x
  2. Step 2: Convert to fraction form
    2,783.28/4,174.80 = 835.44/x
  3. Step 3: Cross multiply
    2,783.28x = 4,174.80 × 835.44
  4. Step 4: Simplify right side
    2,783.28x = 3,487,794.91
  5. Step 5: Solve for x
    x = 3,487,794.91/2,783.28
  6. Step 6: Final answer
    x = 1,253.12

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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.