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Finding the Fourth Proportional to 2,298.84, 3,449.63 and 838.09

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Solution

The fourth proportional to 2,298.84, 3,449.63 and 838.09 is: 1,257.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,298.84 : 3,449.63 = 838.09 : x
  2. Step 2: Convert to fraction form
    2,298.84/3,449.63 = 838.09/x
  3. Step 3: Cross multiply
    2,298.84x = 3,449.63 × 838.09
  4. Step 4: Simplify right side
    2,298.84x = 2,891,100.41
  5. Step 5: Solve for x
    x = 2,891,100.41/2,298.84
  6. Step 6: Final answer
    x = 1,257.63

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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.