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Finding the Fourth Proportional to 3,922.57, 5,884.57 and 1,290.22

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Solution

The fourth proportional to 3,922.57, 5,884.57 and 1,290.22 is: 1,935.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,922.57 : 5,884.57 = 1,290.22 : x
  2. Step 2: Convert to fraction form
    3,922.57/5,884.57 = 1,290.22/x
  3. Step 3: Cross multiply
    3,922.57x = 5,884.57 × 1,290.22
  4. Step 4: Simplify right side
    3,922.57x = 7,592,404.16
  5. Step 5: Solve for x
    x = 7,592,404.16/3,922.57
  6. Step 6: Final answer
    x = 1,935.57

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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.