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Finding the Fourth Proportional to 2,121.84, 3,182.85 and 582.84

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Solution

The fourth proportional to 2,121.84, 3,182.85 and 582.84 is: 874.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,121.84 : 3,182.85 = 582.84 : x
  2. Step 2: Convert to fraction form
    2,121.84/3,182.85 = 582.84/x
  3. Step 3: Cross multiply
    2,121.84x = 3,182.85 × 582.84
  4. Step 4: Simplify right side
    2,121.84x = 1,855,092.29
  5. Step 5: Solve for x
    x = 1,855,092.29/2,121.84
  6. Step 6: Final answer
    x = 874.28

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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.