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Finding the Fourth Proportional to 8,090.34, 12,129.75 and 6,532.26

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Solution

The fourth proportional to 8,090.34, 12,129.75 and 6,532.26 is: 9,793.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,090.34 : 12,129.75 = 6,532.26 : x
  2. Step 2: Convert to fraction form
    8,090.34/12,129.75 = 6,532.26/x
  3. Step 3: Cross multiply
    8,090.34x = 12,129.75 × 6,532.26
  4. Step 4: Simplify right side
    8,090.34x = 79,234,680.74
  5. Step 5: Solve for x
    x = 79,234,680.74/8,090.34
  6. Step 6: Final answer
    x = 9,793.74

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.