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Finding the Fourth Proportional to 2,661.21, 3,992.49 and 929.79

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Solution

The fourth proportional to 2,661.21, 3,992.49 and 929.79 is: 1,394.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,661.21 : 3,992.49 = 929.79 : x
  2. Step 2: Convert to fraction form
    2,661.21/3,992.49 = 929.79/x
  3. Step 3: Cross multiply
    2,661.21x = 3,992.49 × 929.79
  4. Step 4: Simplify right side
    2,661.21x = 3,712,177.28
  5. Step 5: Solve for x
    x = 3,712,177.28/2,661.21
  6. Step 6: Final answer
    x = 1,394.92

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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.