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Finding the Fourth Proportional to 2,633.00, 3,949.49 and 784.14

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Solution

The fourth proportional to 2,633.00, 3,949.49 and 784.14 is: 1,176.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,633.00 : 3,949.49 = 784.14 : x
  2. Step 2: Convert to fraction form
    2,633.00/3,949.49 = 784.14/x
  3. Step 3: Cross multiply
    2,633.00x = 3,949.49 × 784.14
  4. Step 4: Simplify right side
    2,633.00x = 3,096,955.05
  5. Step 5: Solve for x
    x = 3,096,955.05/2,633.00
  6. Step 6: Final answer
    x = 1,176.21

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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.