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Finding the Fourth Proportional to 3,235.50, 4,853.28 and 1,044.24

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Solution

The fourth proportional to 3,235.50, 4,853.28 and 1,044.24 is: 1,566.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,235.50 : 4,853.28 = 1,044.24 : x
  2. Step 2: Convert to fraction form
    3,235.50/4,853.28 = 1,044.24/x
  3. Step 3: Cross multiply
    3,235.50x = 4,853.28 × 1,044.24
  4. Step 4: Simplify right side
    3,235.50x = 5,067,989.11
  5. Step 5: Solve for x
    x = 5,067,989.11/3,235.50
  6. Step 6: Final answer
    x = 1,566.37

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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.