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Finding the Fourth Proportional to 6,871.67, 10,308.90 and 2,922.92

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Solution

The fourth proportional to 6,871.67, 10,308.90 and 2,922.92 is: 4,384.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,871.67 : 10,308.90 = 2,922.92 : x
  2. Step 2: Convert to fraction form
    6,871.67/10,308.90 = 2,922.92/x
  3. Step 3: Cross multiply
    6,871.67x = 10,308.90 × 2,922.92
  4. Step 4: Simplify right side
    6,871.67x = 30,132,038.44
  5. Step 5: Solve for x
    x = 30,132,038.44/6,871.67
  6. Step 6: Final answer
    x = 4,384.97

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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.