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Finding the Fourth Proportional to 2,298.28, 3,447.74 and 838.12

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Solution

The fourth proportional to 2,298.28, 3,447.74 and 838.12 is: 1,257.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,298.28 : 3,447.74 = 838.12 : x
  2. Step 2: Convert to fraction form
    2,298.28/3,447.74 = 838.12/x
  3. Step 3: Cross multiply
    2,298.28x = 3,447.74 × 838.12
  4. Step 4: Simplify right side
    2,298.28x = 2,889,619.85
  5. Step 5: Solve for x
    x = 2,889,619.85/2,298.28
  6. Step 6: Final answer
    x = 1,257.30

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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.