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Finding the Fourth Proportional to 3,442.83, 5,164.26 and 845.77

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Solution

The fourth proportional to 3,442.83, 5,164.26 and 845.77 is: 1,268.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,442.83 : 5,164.26 = 845.77 : x
  2. Step 2: Convert to fraction form
    3,442.83/5,164.26 = 845.77/x
  3. Step 3: Cross multiply
    3,442.83x = 5,164.26 × 845.77
  4. Step 4: Simplify right side
    3,442.83x = 4,367,776.18
  5. Step 5: Solve for x
    x = 4,367,776.18/3,442.83
  6. Step 6: Final answer
    x = 1,268.66

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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.