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Finding the Fourth Proportional to 3,102.84, 4,282.47 and 1,983.42

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Solution

The fourth proportional to 3,102.84, 4,282.47 and 1,983.42 is: 2,737.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,102.84 : 4,282.47 = 1,983.42 : x
  2. Step 2: Convert to fraction form
    3,102.84/4,282.47 = 1,983.42/x
  3. Step 3: Cross multiply
    3,102.84x = 4,282.47 × 1,983.42
  4. Step 4: Simplify right side
    3,102.84x = 8,493,936.65
  5. Step 5: Solve for x
    x = 8,493,936.65/3,102.84
  6. Step 6: Final answer
    x = 2,737.47

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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.