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Finding the Fourth Proportional to 8,165.79, 12,245.74 and 2,827.52

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Solution

The fourth proportional to 8,165.79, 12,245.74 and 2,827.52 is: 4,240.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,165.79 : 12,245.74 = 2,827.52 : x
  2. Step 2: Convert to fraction form
    8,165.79/12,245.74 = 2,827.52/x
  3. Step 3: Cross multiply
    8,165.79x = 12,245.74 × 2,827.52
  4. Step 4: Simplify right side
    8,165.79x = 34,625,006.47
  5. Step 5: Solve for x
    x = 34,625,006.47/8,165.79
  6. Step 6: Final answer
    x = 4,240.25

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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.