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Finding the Fourth Proportional to 3,536.46, 5,305.05 and 939.66

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Solution

The fourth proportional to 3,536.46, 5,305.05 and 939.66 is: 1,409.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,536.46 : 5,305.05 = 939.66 : x
  2. Step 2: Convert to fraction form
    3,536.46/5,305.05 = 939.66/x
  3. Step 3: Cross multiply
    3,536.46x = 5,305.05 × 939.66
  4. Step 4: Simplify right side
    3,536.46x = 4,984,943.28
  5. Step 5: Solve for x
    x = 4,984,943.28/3,536.46
  6. Step 6: Final answer
    x = 1,409.59

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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.