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Finding the Fourth Proportional to 5,251.92, 7,873 and 1,962.51

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Solution

The fourth proportional to 5,251.92, 7,873 and 1,962.51 is: 2,941.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,251.92 : 7,873 = 1,962.51 : x
  2. Step 2: Convert to fraction form
    5,251.92/7,873 = 1,962.51/x
  3. Step 3: Cross multiply
    5,251.92x = 7,873 × 1,962.51
  4. Step 4: Simplify right side
    5,251.92x = 15,450,841.23
  5. Step 5: Solve for x
    x = 15,450,841.23/5,251.92
  6. Step 6: Final answer
    x = 2,941.94

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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.