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Finding the Fourth Proportional to 1,640.84, 2,462.68 and 861.39

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Solution

The fourth proportional to 1,640.84, 2,462.68 and 861.39 is: 1,292.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,640.84 : 2,462.68 = 861.39 : x
  2. Step 2: Convert to fraction form
    1,640.84/2,462.68 = 861.39/x
  3. Step 3: Cross multiply
    1,640.84x = 2,462.68 × 861.39
  4. Step 4: Simplify right side
    1,640.84x = 2,121,317.46
  5. Step 5: Solve for x
    x = 2,121,317.46/1,640.84
  6. Step 6: Final answer
    x = 1,292.83

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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.