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Finding the Fourth Proportional to 8,234.47, 12,330.56 and 4,532.57

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Solution

The fourth proportional to 8,234.47, 12,330.56 and 4,532.57 is: 6,787.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,234.47 : 12,330.56 = 4,532.57 : x
  2. Step 2: Convert to fraction form
    8,234.47/12,330.56 = 4,532.57/x
  3. Step 3: Cross multiply
    8,234.47x = 12,330.56 × 4,532.57
  4. Step 4: Simplify right side
    8,234.47x = 55,889,122.26
  5. Step 5: Solve for x
    x = 55,889,122.26/8,234.47
  6. Step 6: Final answer
    x = 6,787.21

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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.