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Finding the Fourth Proportional to 6,935, 10,406.82 and 2,831

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Solution

The fourth proportional to 6,935, 10,406.82 and 2,831 is: 4,248.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,935 : 10,406.82 = 2,831 : x
  2. Step 2: Convert to fraction form
    6,935/10,406.82 = 2,831/x
  3. Step 3: Cross multiply
    6,935x = 10,406.82 × 2,831
  4. Step 4: Simplify right side
    6,935x = 29,461,707.42
  5. Step 5: Solve for x
    x = 29,461,707.42/6,935
  6. Step 6: Final answer
    x = 4,248.26

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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.