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Finding the Fourth Proportional to 3,943.62, 5,915.43 and 1,021.92

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Solution

The fourth proportional to 3,943.62, 5,915.43 and 1,021.92 is: 1,532.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,943.62 : 5,915.43 = 1,021.92 : x
  2. Step 2: Convert to fraction form
    3,943.62/5,915.43 = 1,021.92/x
  3. Step 3: Cross multiply
    3,943.62x = 5,915.43 × 1,021.92
  4. Step 4: Simplify right side
    3,943.62x = 6,045,074.04
  5. Step 5: Solve for x
    x = 6,045,074.04/3,943.62
  6. Step 6: Final answer
    x = 1,532.87

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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.