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Finding the Fourth Proportional to 2,992.74, 4,488.12 and 1,431.87

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Solution

The fourth proportional to 2,992.74, 4,488.12 and 1,431.87 is: 2,147.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,992.74 : 4,488.12 = 1,431.87 : x
  2. Step 2: Convert to fraction form
    2,992.74/4,488.12 = 1,431.87/x
  3. Step 3: Cross multiply
    2,992.74x = 4,488.12 × 1,431.87
  4. Step 4: Simplify right side
    2,992.74x = 6,426,404.38
  5. Step 5: Solve for x
    x = 6,426,404.38/2,992.74
  6. Step 6: Final answer
    x = 2,147.33

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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.