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Finding the Fourth Proportional to 8,306, 12,459.24 and 2,150

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Solution

The fourth proportional to 8,306, 12,459.24 and 2,150 is: 3,225.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,306 : 12,459.24 = 2,150 : x
  2. Step 2: Convert to fraction form
    8,306/12,459.24 = 2,150/x
  3. Step 3: Cross multiply
    8,306x = 12,459.24 × 2,150
  4. Step 4: Simplify right side
    8,306x = 26,787,366
  5. Step 5: Solve for x
    x = 26,787,366/8,306
  6. Step 6: Final answer
    x = 3,225.06

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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.