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Finding the Fourth Proportional to 3,458.67, 5,188.01 and 861.61

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Solution

The fourth proportional to 3,458.67, 5,188.01 and 861.61 is: 1,292.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,458.67 : 5,188.01 = 861.61 : x
  2. Step 2: Convert to fraction form
    3,458.67/5,188.01 = 861.61/x
  3. Step 3: Cross multiply
    3,458.67x = 5,188.01 × 861.61
  4. Step 4: Simplify right side
    3,458.67x = 4,470,024.02
  5. Step 5: Solve for x
    x = 4,470,024.02/3,458.67
  6. Step 6: Final answer
    x = 1,292.41

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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.