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Finding the Fourth Proportional to 1,932, 2,898.36 and 633.18

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Solution

The fourth proportional to 1,932, 2,898.36 and 633.18 is: 949.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,932 : 2,898.36 = 633.18 : x
  2. Step 2: Convert to fraction form
    1,932/2,898.36 = 633.18/x
  3. Step 3: Cross multiply
    1,932x = 2,898.36 × 633.18
  4. Step 4: Simplify right side
    1,932x = 1,835,183.58
  5. Step 5: Solve for x
    x = 1,835,183.58/1,932
  6. Step 6: Final answer
    x = 949.89

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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.