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Finding the Fourth Proportional to 1,981.63, 2,972.98 and 827.11

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Solution

The fourth proportional to 1,981.63, 2,972.98 and 827.11 is: 1,240.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,981.63 : 2,972.98 = 827.11 : x
  2. Step 2: Convert to fraction form
    1,981.63/2,972.98 = 827.11/x
  3. Step 3: Cross multiply
    1,981.63x = 2,972.98 × 827.11
  4. Step 4: Simplify right side
    1,981.63x = 2,458,962.49
  5. Step 5: Solve for x
    x = 2,458,962.49/1,981.63
  6. Step 6: Final answer
    x = 1,240.88

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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.