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Finding the Fourth Proportional to 2,991, 4,488.12 and 1,675.92

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Solution

The fourth proportional to 2,991, 4,488.12 and 1,675.92 is: 2,514.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,991 : 4,488.12 = 1,675.92 : x
  2. Step 2: Convert to fraction form
    2,991/4,488.12 = 1,675.92/x
  3. Step 3: Cross multiply
    2,991x = 4,488.12 × 1,675.92
  4. Step 4: Simplify right side
    2,991x = 7,521,730.07
  5. Step 5: Solve for x
    x = 7,521,730.07/2,991
  6. Step 6: Final answer
    x = 2,514.79

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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.