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Finding the Fourth Proportional to 2,801.37, 4,201.92 and 953.22

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Solution

The fourth proportional to 2,801.37, 4,201.92 and 953.22 is: 1,429.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,801.37 : 4,201.92 = 953.22 : x
  2. Step 2: Convert to fraction form
    2,801.37/4,201.92 = 953.22/x
  3. Step 3: Cross multiply
    2,801.37x = 4,201.92 × 953.22
  4. Step 4: Simplify right side
    2,801.37x = 4,005,354.18
  5. Step 5: Solve for x
    x = 4,005,354.18/2,801.37
  6. Step 6: Final answer
    x = 1,429.78

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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.