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Finding the Fourth Proportional to 3,273, 4,910.31 and 964.50

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Solution

The fourth proportional to 3,273, 4,910.31 and 964.50 is: 1,446.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,273 : 4,910.31 = 964.50 : x
  2. Step 2: Convert to fraction form
    3,273/4,910.31 = 964.50/x
  3. Step 3: Cross multiply
    3,273x = 4,910.31 × 964.50
  4. Step 4: Simplify right side
    3,273x = 4,735,994.00
  5. Step 5: Solve for x
    x = 4,735,994.00/3,273
  6. Step 6: Final answer
    x = 1,446.99

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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.