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Finding the Fourth Proportional to 6,890, 10,333.54 and 1,958.32

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Solution

The fourth proportional to 6,890, 10,333.54 and 1,958.32 is: 2,937.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,890 : 10,333.54 = 1,958.32 : x
  2. Step 2: Convert to fraction form
    6,890/10,333.54 = 1,958.32/x
  3. Step 3: Cross multiply
    6,890x = 10,333.54 × 1,958.32
  4. Step 4: Simplify right side
    6,890x = 20,236,378.05
  5. Step 5: Solve for x
    x = 20,236,378.05/6,890
  6. Step 6: Final answer
    x = 2,937.07

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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.