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Finding the Fourth Proportional to 2,666.74, 3,992.21 and 1,976.51

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Solution

The fourth proportional to 2,666.74, 3,992.21 and 1,976.51 is: 2,958.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,666.74 : 3,992.21 = 1,976.51 : x
  2. Step 2: Convert to fraction form
    2,666.74/3,992.21 = 1,976.51/x
  3. Step 3: Cross multiply
    2,666.74x = 3,992.21 × 1,976.51
  4. Step 4: Simplify right side
    2,666.74x = 7,890,644.83
  5. Step 5: Solve for x
    x = 7,890,644.83/2,666.74
  6. Step 6: Final answer
    x = 2,958.91

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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.