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Finding the Fourth Proportional to 5,131.50, 7,071 and 3,538.63

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Solution

The fourth proportional to 5,131.50, 7,071 and 3,538.63 is: 4,876.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,131.50 : 7,071 = 3,538.63 : x
  2. Step 2: Convert to fraction form
    5,131.50/7,071 = 3,538.63/x
  3. Step 3: Cross multiply
    5,131.50x = 7,071 × 3,538.63
  4. Step 4: Simplify right side
    5,131.50x = 25,021,652.73
  5. Step 5: Solve for x
    x = 25,021,652.73/5,131.50
  6. Step 6: Final answer
    x = 4,876.09

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.