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Finding the Fourth Proportional to 3,644.88, 5,021.64 and 3,398.64

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Solution

The fourth proportional to 3,644.88, 5,021.64 and 3,398.64 is: 4,682.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,644.88 : 5,021.64 = 3,398.64 : x
  2. Step 2: Convert to fraction form
    3,644.88/5,021.64 = 3,398.64/x
  3. Step 3: Cross multiply
    3,644.88x = 5,021.64 × 3,398.64
  4. Step 4: Simplify right side
    3,644.88x = 17,066,746.57
  5. Step 5: Solve for x
    x = 17,066,746.57/3,644.88
  6. Step 6: Final answer
    x = 4,682.39

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.