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Finding the Fourth Proportional to 3,585.81, 5,379.77 and 1,941.91

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Solution

The fourth proportional to 3,585.81, 5,379.77 and 1,941.91 is: 2,913.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,585.81 : 5,379.77 = 1,941.91 : x
  2. Step 2: Convert to fraction form
    3,585.81/5,379.77 = 1,941.91/x
  3. Step 3: Cross multiply
    3,585.81x = 5,379.77 × 1,941.91
  4. Step 4: Simplify right side
    3,585.81x = 10,447,029.16
  5. Step 5: Solve for x
    x = 10,447,029.16/3,585.81
  6. Step 6: Final answer
    x = 2,913.44

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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.