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Finding the Fourth Proportional to 1,994.47, 2,751.92 and 1,238.86

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Solution

The fourth proportional to 1,994.47, 2,751.92 and 1,238.86 is: 1,709.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,994.47 : 2,751.92 = 1,238.86 : x
  2. Step 2: Convert to fraction form
    1,994.47/2,751.92 = 1,238.86/x
  3. Step 3: Cross multiply
    1,994.47x = 2,751.92 × 1,238.86
  4. Step 4: Simplify right side
    1,994.47x = 3,409,237.42
  5. Step 5: Solve for x
    x = 3,409,237.42/1,994.47
  6. Step 6: Final answer
    x = 1,709.35

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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.