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Finding the Fourth Proportional to 1,992.90, 3,002.66 and 1,835.46

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Solution

The fourth proportional to 1,992.90, 3,002.66 and 1,835.46 is: 2,765.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,992.90 : 3,002.66 = 1,835.46 : x
  2. Step 2: Convert to fraction form
    1,992.90/3,002.66 = 1,835.46/x
  3. Step 3: Cross multiply
    1,992.90x = 3,002.66 × 1,835.46
  4. Step 4: Simplify right side
    1,992.90x = 5,511,253.15
  5. Step 5: Solve for x
    x = 5,511,253.15/1,992.90
  6. Step 6: Final answer
    x = 2,765.44

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.