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Finding the Fourth Proportional to 5,190.40, 7,162 and 3,093.76

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Solution

The fourth proportional to 5,190.40, 7,162 and 3,093.76 is: 4,268.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,190.40 : 7,162 = 3,093.76 : x
  2. Step 2: Convert to fraction form
    5,190.40/7,162 = 3,093.76/x
  3. Step 3: Cross multiply
    5,190.40x = 7,162 × 3,093.76
  4. Step 4: Simplify right side
    5,190.40x = 22,157,509.12
  5. Step 5: Solve for x
    x = 22,157,509.12/5,190.40
  6. Step 6: Final answer
    x = 4,268.94

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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.