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Finding the Fourth Proportional to 3,872.94, 5,344.51 and 2,104.51

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Solution

The fourth proportional to 3,872.94, 5,344.51 and 2,104.51 is: 2,904.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,872.94 : 5,344.51 = 2,104.51 : x
  2. Step 2: Convert to fraction form
    3,872.94/5,344.51 = 2,104.51/x
  3. Step 3: Cross multiply
    3,872.94x = 5,344.51 × 2,104.51
  4. Step 4: Simplify right side
    3,872.94x = 11,247,542.76
  5. Step 5: Solve for x
    x = 11,247,542.76/3,872.94
  6. Step 6: Final answer
    x = 2,904.14

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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.