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Finding the Fourth Proportional to 3,874.93, 5,812.33 and 953.21

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Solution

The fourth proportional to 3,874.93, 5,812.33 and 953.21 is: 1,429.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,874.93 : 5,812.33 = 953.21 : x
  2. Step 2: Convert to fraction form
    3,874.93/5,812.33 = 953.21/x
  3. Step 3: Cross multiply
    3,874.93x = 5,812.33 × 953.21
  4. Step 4: Simplify right side
    3,874.93x = 5,540,371.08
  5. Step 5: Solve for x
    x = 5,540,371.08/3,874.93
  6. Step 6: Final answer
    x = 1,429.80

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1.5x scale

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.