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Finding the Fourth Proportional to 3,493.12, 5,239.68 and 896.28

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Solution

The fourth proportional to 3,493.12, 5,239.68 and 896.28 is: 1,344.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,493.12 : 5,239.68 = 896.28 : x
  2. Step 2: Convert to fraction form
    3,493.12/5,239.68 = 896.28/x
  3. Step 3: Cross multiply
    3,493.12x = 5,239.68 × 896.28
  4. Step 4: Simplify right side
    3,493.12x = 4,696,220.39
  5. Step 5: Solve for x
    x = 4,696,220.39/3,493.12
  6. Step 6: Final answer
    x = 1,344.42

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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.