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Finding the Fourth Proportional to 1,994.90, 2,992.38 and 762.38

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Solution

The fourth proportional to 1,994.90, 2,992.38 and 762.38 is: 1,143.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,994.90 : 2,992.38 = 762.38 : x
  2. Step 2: Convert to fraction form
    1,994.90/2,992.38 = 762.38/x
  3. Step 3: Cross multiply
    1,994.90x = 2,992.38 × 762.38
  4. Step 4: Simplify right side
    1,994.90x = 2,281,330.66
  5. Step 5: Solve for x
    x = 2,281,330.66/1,994.90
  6. Step 6: Final answer
    x = 1,143.58

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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.