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Finding the Fourth Proportional to 2,381.96, 3,572.82 and 650.59

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Solution

The fourth proportional to 2,381.96, 3,572.82 and 650.59 is: 975.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,381.96 : 3,572.82 = 650.59 : x
  2. Step 2: Convert to fraction form
    2,381.96/3,572.82 = 650.59/x
  3. Step 3: Cross multiply
    2,381.96x = 3,572.82 × 650.59
  4. Step 4: Simplify right side
    2,381.96x = 2,324,424.73
  5. Step 5: Solve for x
    x = 2,324,424.73/2,381.96
  6. Step 6: Final answer
    x = 975.85

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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.