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Finding the Fourth Proportional to 1,983.80, 2,737.71 and 1,197.69

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Solution

The fourth proportional to 1,983.80, 2,737.71 and 1,197.69 is: 1,652.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,983.80 : 2,737.71 = 1,197.69 : x
  2. Step 2: Convert to fraction form
    1,983.80/2,737.71 = 1,197.69/x
  3. Step 3: Cross multiply
    1,983.80x = 2,737.71 × 1,197.69
  4. Step 4: Simplify right side
    1,983.80x = 3,278,927.89
  5. Step 5: Solve for x
    x = 3,278,927.89/1,983.80
  6. Step 6: Final answer
    x = 1,652.85

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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.