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Finding the Fourth Proportional to 2,121.67, 3,182.51 and 582.67

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Solution

The fourth proportional to 2,121.67, 3,182.51 and 582.67 is: 874.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,121.67 : 3,182.51 = 582.67 : x
  2. Step 2: Convert to fraction form
    2,121.67/3,182.51 = 582.67/x
  3. Step 3: Cross multiply
    2,121.67x = 3,182.51 × 582.67
  4. Step 4: Simplify right side
    2,121.67x = 1,854,353.10
  5. Step 5: Solve for x
    x = 1,854,353.10/2,121.67
  6. Step 6: Final answer
    x = 874.01

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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.