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Finding the Fourth Proportional to 3,751, 5,175.90 and 2,178.52

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Solution

The fourth proportional to 3,751, 5,175.90 and 2,178.52 is: 3,006.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,751 : 5,175.90 = 2,178.52 : x
  2. Step 2: Convert to fraction form
    3,751/5,175.90 = 2,178.52/x
  3. Step 3: Cross multiply
    3,751x = 5,175.90 × 2,178.52
  4. Step 4: Simplify right side
    3,751x = 11,275,801.67
  5. Step 5: Solve for x
    x = 11,275,801.67/3,751
  6. Step 6: Final answer
    x = 3,006.08

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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.