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Finding the Fourth Proportional to 2,122.12, 3,182.94 and 583

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Solution

The fourth proportional to 2,122.12, 3,182.94 and 583 is: 874.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,122.12 : 3,182.94 = 583 : x
  2. Step 2: Convert to fraction form
    2,122.12/3,182.94 = 583/x
  3. Step 3: Cross multiply
    2,122.12x = 3,182.94 × 583
  4. Step 4: Simplify right side
    2,122.12x = 1,855,654.02
  5. Step 5: Solve for x
    x = 1,855,654.02/2,122.12
  6. Step 6: Final answer
    x = 874.43

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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.