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Finding the Fourth Proportional to 8,231.63, 12,269.27 and 7,752.31

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Solution

The fourth proportional to 8,231.63, 12,269.27 and 7,752.31 is: 11,554.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,231.63 : 12,269.27 = 7,752.31 : x
  2. Step 2: Convert to fraction form
    8,231.63/12,269.27 = 7,752.31/x
  3. Step 3: Cross multiply
    8,231.63x = 12,269.27 × 7,752.31
  4. Step 4: Simplify right side
    8,231.63x = 95,115,173.22
  5. Step 5: Solve for x
    x = 95,115,173.22/8,231.63
  6. Step 6: Final answer
    x = 11,554.85

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.