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Finding the Fourth Proportional to 2,784.97, 4,179.48 and 2,243.69

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Solution

The fourth proportional to 2,784.97, 4,179.48 and 2,243.69 is: 3,367.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,784.97 : 4,179.48 = 2,243.69 : x
  2. Step 2: Convert to fraction form
    2,784.97/4,179.48 = 2,243.69/x
  3. Step 3: Cross multiply
    2,784.97x = 4,179.48 × 2,243.69
  4. Step 4: Simplify right side
    2,784.97x = 9,377,457.48
  5. Step 5: Solve for x
    x = 9,377,457.48/2,784.97
  6. Step 6: Final answer
    x = 3,367.17

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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.