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Finding the Fourth Proportional to 3,814.88, 5,723.04 and 1,868

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Solution

The fourth proportional to 3,814.88, 5,723.04 and 1,868 is: 2,802.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,814.88 : 5,723.04 = 1,868 : x
  2. Step 2: Convert to fraction form
    3,814.88/5,723.04 = 1,868/x
  3. Step 3: Cross multiply
    3,814.88x = 5,723.04 × 1,868
  4. Step 4: Simplify right side
    3,814.88x = 10,690,638.72
  5. Step 5: Solve for x
    x = 10,690,638.72/3,814.88
  6. Step 6: Final answer
    x = 2,802.35

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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.