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Finding the Fourth Proportional to 3,644.70, 5,467.02 and 908.70

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Solution

The fourth proportional to 3,644.70, 5,467.02 and 908.70 is: 1,363.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,644.70 : 5,467.02 = 908.70 : x
  2. Step 2: Convert to fraction form
    3,644.70/5,467.02 = 908.70/x
  3. Step 3: Cross multiply
    3,644.70x = 5,467.02 × 908.70
  4. Step 4: Simplify right side
    3,644.70x = 4,967,881.07
  5. Step 5: Solve for x
    x = 4,967,881.07/3,644.70
  6. Step 6: Final answer
    x = 1,363.04

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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.