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Finding the Fourth Proportional to 2,847.69, 4,273.15 and 2,274.21

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Solution

The fourth proportional to 2,847.69, 4,273.15 and 2,274.21 is: 3,412.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,847.69 : 4,273.15 = 2,274.21 : x
  2. Step 2: Convert to fraction form
    2,847.69/4,273.15 = 2,274.21/x
  3. Step 3: Cross multiply
    2,847.69x = 4,273.15 × 2,274.21
  4. Step 4: Simplify right side
    2,847.69x = 9,718,040.46
  5. Step 5: Solve for x
    x = 9,718,040.46/2,847.69
  6. Step 6: Final answer
    x = 3,412.60

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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.