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Finding the Fourth Proportional to 8,073, 12,109.50 and 2,601

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Solution

The fourth proportional to 8,073, 12,109.50 and 2,601 is: 3,901.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,073 : 12,109.50 = 2,601 : x
  2. Step 2: Convert to fraction form
    8,073/12,109.50 = 2,601/x
  3. Step 3: Cross multiply
    8,073x = 12,109.50 × 2,601
  4. Step 4: Simplify right side
    8,073x = 31,496,809.50
  5. Step 5: Solve for x
    x = 31,496,809.50/8,073
  6. Step 6: Final answer
    x = 3,901.50

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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.