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Finding the Fourth Proportional to 3,493.12, 5,239.86 and 896.08

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Solution

The fourth proportional to 3,493.12, 5,239.86 and 896.08 is: 1,344.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,493.12 : 5,239.86 = 896.08 : x
  2. Step 2: Convert to fraction form
    3,493.12/5,239.86 = 896.08/x
  3. Step 3: Cross multiply
    3,493.12x = 5,239.86 × 896.08
  4. Step 4: Simplify right side
    3,493.12x = 4,695,333.75
  5. Step 5: Solve for x
    x = 4,695,333.75/3,493.12
  6. Step 6: Final answer
    x = 1,344.17

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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.