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Finding the Fourth Proportional to 8,271, 12,403.44 and 2,722.73

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Solution

The fourth proportional to 8,271, 12,403.44 and 2,722.73 is: 4,083.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,271 : 12,403.44 = 2,722.73 : x
  2. Step 2: Convert to fraction form
    8,271/12,403.44 = 2,722.73/x
  3. Step 3: Cross multiply
    8,271x = 12,403.44 × 2,722.73
  4. Step 4: Simplify right side
    8,271x = 33,771,156.17
  5. Step 5: Solve for x
    x = 33,771,156.17/8,271
  6. Step 6: Final answer
    x = 4,083.08

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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.