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Finding the Fourth Proportional to 2,102.92, 3,155.08 and 992.82

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Solution

The fourth proportional to 2,102.92, 3,155.08 and 992.82 is: 1,489.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,102.92 : 3,155.08 = 992.82 : x
  2. Step 2: Convert to fraction form
    2,102.92/3,155.08 = 992.82/x
  3. Step 3: Cross multiply
    2,102.92x = 3,155.08 × 992.82
  4. Step 4: Simplify right side
    2,102.92x = 3,132,426.53
  5. Step 5: Solve for x
    x = 3,132,426.53/2,102.92
  6. Step 6: Final answer
    x = 1,489.56

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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.