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Finding the Fourth Proportional to 3,400.51, 4,691.51 and 2,221.15

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Solution

The fourth proportional to 3,400.51, 4,691.51 and 2,221.15 is: 3,064.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,400.51 : 4,691.51 = 2,221.15 : x
  2. Step 2: Convert to fraction form
    3,400.51/4,691.51 = 2,221.15/x
  3. Step 3: Cross multiply
    3,400.51x = 4,691.51 × 2,221.15
  4. Step 4: Simplify right side
    3,400.51x = 10,420,536.33
  5. Step 5: Solve for x
    x = 10,420,536.33/3,400.51
  6. Step 6: Final answer
    x = 3,064.40

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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.