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Finding the Fourth Proportional to 3,644.28, 5,466.36 and 908.28

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Solution

The fourth proportional to 3,644.28, 5,466.36 and 908.28 is: 1,362.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,644.28 : 5,466.36 = 908.28 : x
  2. Step 2: Convert to fraction form
    3,644.28/5,466.36 = 908.28/x
  3. Step 3: Cross multiply
    3,644.28x = 5,466.36 × 908.28
  4. Step 4: Simplify right side
    3,644.28x = 4,964,985.46
  5. Step 5: Solve for x
    x = 4,964,985.46/3,644.28
  6. Step 6: Final answer
    x = 1,362.41

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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.