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Finding the Fourth Proportional to 8,165.79, 12,250.14 and 2,828.70

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Solution

The fourth proportional to 8,165.79, 12,250.14 and 2,828.70 is: 4,243.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,165.79 : 12,250.14 = 2,828.70 : x
  2. Step 2: Convert to fraction form
    8,165.79/12,250.14 = 2,828.70/x
  3. Step 3: Cross multiply
    8,165.79x = 12,250.14 × 2,828.70
  4. Step 4: Simplify right side
    8,165.79x = 34,651,971.02
  5. Step 5: Solve for x
    x = 34,651,971.02/8,165.79
  6. Step 6: Final answer
    x = 4,243.55

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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.