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Finding the Fourth Proportional to 3,288.78, 4,933.20 and 948.83

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Solution

The fourth proportional to 3,288.78, 4,933.20 and 948.83 is: 1,423.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,288.78 : 4,933.20 = 948.83 : x
  2. Step 2: Convert to fraction form
    3,288.78/4,933.20 = 948.83/x
  3. Step 3: Cross multiply
    3,288.78x = 4,933.20 × 948.83
  4. Step 4: Simplify right side
    3,288.78x = 4,680,753.99
  5. Step 5: Solve for x
    x = 4,680,753.99/3,288.78
  6. Step 6: Final answer
    x = 1,423.25

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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.