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Finding the Fourth Proportional to 5,173, 7,139.46 and 3,313.96

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Solution

The fourth proportional to 5,173, 7,139.46 and 3,313.96 is: 4,573.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,173 : 7,139.46 = 3,313.96 : x
  2. Step 2: Convert to fraction form
    5,173/7,139.46 = 3,313.96/x
  3. Step 3: Cross multiply
    5,173x = 7,139.46 × 3,313.96
  4. Step 4: Simplify right side
    5,173x = 23,659,884.86
  5. Step 5: Solve for x
    x = 23,659,884.86/5,173
  6. Step 6: Final answer
    x = 4,573.73

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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.