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Finding the Fourth Proportional to 8,234.76, 12,339.20 and 6,365.23

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Solution

The fourth proportional to 8,234.76, 12,339.20 and 6,365.23 is: 9,537.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,234.76 : 12,339.20 = 6,365.23 : x
  2. Step 2: Convert to fraction form
    8,234.76/12,339.20 = 6,365.23/x
  3. Step 3: Cross multiply
    8,234.76x = 12,339.20 × 6,365.23
  4. Step 4: Simplify right side
    8,234.76x = 78,541,807.21
  5. Step 5: Solve for x
    x = 78,541,807.21/8,234.76
  6. Step 6: Final answer
    x = 9,537.84

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1.5x scale

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.