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Finding the Fourth Proportional to 3,425.36, 5,138.57 and 1,451

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Solution

The fourth proportional to 3,425.36, 5,138.57 and 1,451 is: 2,176.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,425.36 : 5,138.57 = 1,451 : x
  2. Step 2: Convert to fraction form
    3,425.36/5,138.57 = 1,451/x
  3. Step 3: Cross multiply
    3,425.36x = 5,138.57 × 1,451
  4. Step 4: Simplify right side
    3,425.36x = 7,456,065.07
  5. Step 5: Solve for x
    x = 7,456,065.07/3,425.36
  6. Step 6: Final answer
    x = 2,176.72

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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.