Home / 3,814.95-5,723.11-1,965.57

Finding the Fourth Proportional to 3,814.95, 5,723.11 and 1,965.57

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Solution

The fourth proportional to 3,814.95, 5,723.11 and 1,965.57 is: 2,948.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,814.95 : 5,723.11 = 1,965.57 : x
  2. Step 2: Convert to fraction form
    3,814.95/5,723.11 = 1,965.57/x
  3. Step 3: Cross multiply
    3,814.95x = 5,723.11 × 1,965.57
  4. Step 4: Simplify right side
    3,814.95x = 11,249,143.26
  5. Step 5: Solve for x
    x = 11,249,143.26/3,814.95
  6. Step 6: Final answer
    x = 2,948.70

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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.