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Finding the Fourth Proportional to 3,890.42, 5,834.21 and 1,424.51

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Solution

The fourth proportional to 3,890.42, 5,834.21 and 1,424.51 is: 2,136.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,890.42 : 5,834.21 = 1,424.51 : x
  2. Step 2: Convert to fraction form
    3,890.42/5,834.21 = 1,424.51/x
  3. Step 3: Cross multiply
    3,890.42x = 5,834.21 × 1,424.51
  4. Step 4: Simplify right side
    3,890.42x = 8,310,854.19
  5. Step 5: Solve for x
    x = 8,310,854.19/3,890.42
  6. Step 6: Final answer
    x = 2,136.24

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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.