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Finding the Fourth Proportional to 3,458.83, 5,188.25 and 861.77

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Solution

The fourth proportional to 3,458.83, 5,188.25 and 861.77 is: 1,292.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,458.83 : 5,188.25 = 861.77 : x
  2. Step 2: Convert to fraction form
    3,458.83/5,188.25 = 861.77/x
  3. Step 3: Cross multiply
    3,458.83x = 5,188.25 × 861.77
  4. Step 4: Simplify right side
    3,458.83x = 4,471,078.20
  5. Step 5: Solve for x
    x = 4,471,078.20/3,458.83
  6. Step 6: Final answer
    x = 1,292.66

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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.