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Finding the Fourth Proportional to 8,234.28, 12,354.88 and 5,276.06

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Solution

The fourth proportional to 8,234.28, 12,354.88 and 5,276.06 is: 7,916.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,234.28 : 12,354.88 = 5,276.06 : x
  2. Step 2: Convert to fraction form
    8,234.28/12,354.88 = 5,276.06/x
  3. Step 3: Cross multiply
    8,234.28x = 12,354.88 × 5,276.06
  4. Step 4: Simplify right side
    8,234.28x = 65,185,104.18
  5. Step 5: Solve for x
    x = 65,185,104.18/8,234.28
  6. Step 6: Final answer
    x = 7,916.31

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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.