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Finding the Fourth Proportional to 3,630.62, 5,445.28 and 962.23

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Solution

The fourth proportional to 3,630.62, 5,445.28 and 962.23 is: 1,443.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,630.62 : 5,445.28 = 962.23 : x
  2. Step 2: Convert to fraction form
    3,630.62/5,445.28 = 962.23/x
  3. Step 3: Cross multiply
    3,630.62x = 5,445.28 × 962.23
  4. Step 4: Simplify right side
    3,630.62x = 5,239,606.87
  5. Step 5: Solve for x
    x = 5,239,606.87/3,630.62
  6. Step 6: Final answer
    x = 1,443.17

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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.