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Finding the Fourth Proportional to 2,121.15, 3,181.82 and 660.32

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Solution

The fourth proportional to 2,121.15, 3,181.82 and 660.32 is: 990.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,121.15 : 3,181.82 = 660.32 : x
  2. Step 2: Convert to fraction form
    2,121.15/3,181.82 = 660.32/x
  3. Step 3: Cross multiply
    2,121.15x = 3,181.82 × 660.32
  4. Step 4: Simplify right side
    2,121.15x = 2,101,000.17
  5. Step 5: Solve for x
    x = 2,101,000.17/2,121.15
  6. Step 6: Final answer
    x = 990.50

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1.5x scale

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.