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Finding the Fourth Proportional to 2,221.73, 3,329.71 and 903.95

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Solution

The fourth proportional to 2,221.73, 3,329.71 and 903.95 is: 1,354.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,221.73 : 3,329.71 = 903.95 : x
  2. Step 2: Convert to fraction form
    2,221.73/3,329.71 = 903.95/x
  3. Step 3: Cross multiply
    2,221.73x = 3,329.71 × 903.95
  4. Step 4: Simplify right side
    2,221.73x = 3,009,890.02
  5. Step 5: Solve for x
    x = 3,009,890.02/2,221.73
  6. Step 6: Final answer
    x = 1,354.75

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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.