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Finding the Fourth Proportional to 3,937.50, 5,906.23 and 1,015.80

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Solution

The fourth proportional to 3,937.50, 5,906.23 and 1,015.80 is: 1,523.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,937.50 : 5,906.23 = 1,015.80 : x
  2. Step 2: Convert to fraction form
    3,937.50/5,906.23 = 1,015.80/x
  3. Step 3: Cross multiply
    3,937.50x = 5,906.23 × 1,015.80
  4. Step 4: Simplify right side
    3,937.50x = 5,999,548.43
  5. Step 5: Solve for x
    x = 5,999,548.43/3,937.50
  6. Step 6: Final answer
    x = 1,523.69

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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.