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Finding the Fourth Proportional to 3,814.68, 5,723.10 and 1,217.64

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Solution

The fourth proportional to 3,814.68, 5,723.10 and 1,217.64 is: 1,826.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,814.68 : 5,723.10 = 1,217.64 : x
  2. Step 2: Convert to fraction form
    3,814.68/5,723.10 = 1,217.64/x
  3. Step 3: Cross multiply
    3,814.68x = 5,723.10 × 1,217.64
  4. Step 4: Simplify right side
    3,814.68x = 6,968,675.48
  5. Step 5: Solve for x
    x = 6,968,675.48/3,814.68
  6. Step 6: Final answer
    x = 1,826.80

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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.