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Finding the Fourth Proportional to 3,288.81, 4,932.49 and 948.30

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Solution

The fourth proportional to 3,288.81, 4,932.49 and 948.30 is: 1,422.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,288.81 : 4,932.49 = 948.30 : x
  2. Step 2: Convert to fraction form
    3,288.81/4,932.49 = 948.30/x
  3. Step 3: Cross multiply
    3,288.81x = 4,932.49 × 948.30
  4. Step 4: Simplify right side
    3,288.81x = 4,677,453.23
  5. Step 5: Solve for x
    x = 4,677,453.23/3,288.81
  6. Step 6: Final answer
    x = 1,422.23

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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.