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Finding the Fourth Proportional to 3,536.44, 5,304.80 and 939.40

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Solution

The fourth proportional to 3,536.44, 5,304.80 and 939.40 is: 1,409.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,536.44 : 5,304.80 = 939.40 : x
  2. Step 2: Convert to fraction form
    3,536.44/5,304.80 = 939.40/x
  3. Step 3: Cross multiply
    3,536.44x = 5,304.80 × 939.40
  4. Step 4: Simplify right side
    3,536.44x = 4,983,329.12
  5. Step 5: Solve for x
    x = 4,983,329.12/3,536.44
  6. Step 6: Final answer
    x = 1,409.14

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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.