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Finding the Fourth Proportional to 2,134.31, 3,201.53 and 901.76

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Solution

The fourth proportional to 2,134.31, 3,201.53 and 901.76 is: 1,352.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,134.31 : 3,201.53 = 901.76 : x
  2. Step 2: Convert to fraction form
    2,134.31/3,201.53 = 901.76/x
  3. Step 3: Cross multiply
    2,134.31x = 3,201.53 × 901.76
  4. Step 4: Simplify right side
    2,134.31x = 2,886,991.18
  5. Step 5: Solve for x
    x = 2,886,991.18/2,134.31
  6. Step 6: Final answer
    x = 1,352.66

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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.