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Finding the Fourth Proportional to 2,666.71, 4,005.87 and 2,579.23

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Solution

The fourth proportional to 2,666.71, 4,005.87 and 2,579.23 is: 3,874.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,666.71 : 4,005.87 = 2,579.23 : x
  2. Step 2: Convert to fraction form
    2,666.71/4,005.87 = 2,579.23/x
  3. Step 3: Cross multiply
    2,666.71x = 4,005.87 × 2,579.23
  4. Step 4: Simplify right side
    2,666.71x = 10,332,060.08
  5. Step 5: Solve for x
    x = 10,332,060.08/2,666.71
  6. Step 6: Final answer
    x = 3,874.46

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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.