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Finding the Fourth Proportional to 3,269.70, 4,904.82 and 929.88

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Solution

The fourth proportional to 3,269.70, 4,904.82 and 929.88 is: 1,394.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,269.70 : 4,904.82 = 929.88 : x
  2. Step 2: Convert to fraction form
    3,269.70/4,904.82 = 929.88/x
  3. Step 3: Cross multiply
    3,269.70x = 4,904.82 × 929.88
  4. Step 4: Simplify right side
    3,269.70x = 4,560,894.02
  5. Step 5: Solve for x
    x = 4,560,894.02/3,269.70
  6. Step 6: Final answer
    x = 1,394.90

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1.5x scale

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.