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Finding the Fourth Proportional to 3,458.52, 5,188.68 and 1,814.64

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Solution

The fourth proportional to 3,458.52, 5,188.68 and 1,814.64 is: 2,722.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,458.52 : 5,188.68 = 1,814.64 : x
  2. Step 2: Convert to fraction form
    3,458.52/5,188.68 = 1,814.64/x
  3. Step 3: Cross multiply
    3,458.52x = 5,188.68 × 1,814.64
  4. Step 4: Simplify right side
    3,458.52x = 9,415,586.28
  5. Step 5: Solve for x
    x = 9,415,586.28/3,458.52
  6. Step 6: Final answer
    x = 2,722.43

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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.