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Finding the Fourth Proportional to 2,992.12, 4,129 and 1,665.88

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Solution

The fourth proportional to 2,992.12, 4,129 and 1,665.88 is: 2,298.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,992.12 : 4,129 = 1,665.88 : x
  2. Step 2: Convert to fraction form
    2,992.12/4,129 = 1,665.88/x
  3. Step 3: Cross multiply
    2,992.12x = 4,129 × 1,665.88
  4. Step 4: Simplify right side
    2,992.12x = 6,878,418.52
  5. Step 5: Solve for x
    x = 6,878,418.52/2,992.12
  6. Step 6: Final answer
    x = 2,298.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.