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Finding the Fourth Proportional to 1,981.38, 2,972.09 and 827.13

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Solution

The fourth proportional to 1,981.38, 2,972.09 and 827.13 is: 1,240.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,981.38 : 2,972.09 = 827.13 : x
  2. Step 2: Convert to fraction form
    1,981.38/2,972.09 = 827.13/x
  3. Step 3: Cross multiply
    1,981.38x = 2,972.09 × 827.13
  4. Step 4: Simplify right side
    1,981.38x = 2,458,285.81
  5. Step 5: Solve for x
    x = 2,458,285.81/1,981.38
  6. Step 6: Final answer
    x = 1,240.70

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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.