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Finding the Fourth Proportional to 5,844.59, 8,063.24 and 3,291.77

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Solution

The fourth proportional to 5,844.59, 8,063.24 and 3,291.77 is: 4,541.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,844.59 : 8,063.24 = 3,291.77 : x
  2. Step 2: Convert to fraction form
    5,844.59/8,063.24 = 3,291.77/x
  3. Step 3: Cross multiply
    5,844.59x = 8,063.24 × 3,291.77
  4. Step 4: Simplify right side
    5,844.59x = 26,542,274.76
  5. Step 5: Solve for x
    x = 26,542,274.76/5,844.59
  6. Step 6: Final answer
    x = 4,541.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.