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Finding the Fourth Proportional to 8,306.63, 12,462.04 and 2,760

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Solution

The fourth proportional to 8,306.63, 12,462.04 and 2,760 is: 4,140.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,306.63 : 12,462.04 = 2,760 : x
  2. Step 2: Convert to fraction form
    8,306.63/12,462.04 = 2,760/x
  3. Step 3: Cross multiply
    8,306.63x = 12,462.04 × 2,760
  4. Step 4: Simplify right side
    8,306.63x = 34,395,230.40
  5. Step 5: Solve for x
    x = 34,395,230.40/8,306.63
  6. Step 6: Final answer
    x = 4,140.70

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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.