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Finding the Fourth Proportional to 1,983.81, 2,732.11 and 1,940.77

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Solution

The fourth proportional to 1,983.81, 2,732.11 and 1,940.77 is: 2,672.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,983.81 : 2,732.11 = 1,940.77 : x
  2. Step 2: Convert to fraction form
    1,983.81/2,732.11 = 1,940.77/x
  3. Step 3: Cross multiply
    1,983.81x = 2,732.11 × 1,940.77
  4. Step 4: Simplify right side
    1,983.81x = 5,302,373.76
  5. Step 5: Solve for x
    x = 5,302,373.76/1,983.81
  6. Step 6: Final answer
    x = 2,672.82

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.