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Finding the Fourth Proportional to 2,782.08, 4,174.08 and 2,747.52

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Solution

The fourth proportional to 2,782.08, 4,174.08 and 2,747.52 is: 4,122.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,782.08 : 4,174.08 = 2,747.52 : x
  2. Step 2: Convert to fraction form
    2,782.08/4,174.08 = 2,747.52/x
  3. Step 3: Cross multiply
    2,782.08x = 4,174.08 × 2,747.52
  4. Step 4: Simplify right side
    2,782.08x = 11,468,368.28
  5. Step 5: Solve for x
    x = 11,468,368.28/2,782.08
  6. Step 6: Final answer
    x = 4,122.23

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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.