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Finding the Fourth Proportional to 2,666.41, 3,992.77 and 1,972.03

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Solution

The fourth proportional to 2,666.41, 3,992.77 and 1,972.03 is: 2,952.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,666.41 : 3,992.77 = 1,972.03 : x
  2. Step 2: Convert to fraction form
    2,666.41/3,992.77 = 1,972.03/x
  3. Step 3: Cross multiply
    2,666.41x = 3,992.77 × 1,972.03
  4. Step 4: Simplify right side
    2,666.41x = 7,873,862.22
  5. Step 5: Solve for x
    x = 7,873,862.22/2,666.41
  6. Step 6: Final answer
    x = 2,952.98

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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.