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Finding the Fourth Proportional to 8,322.30, 12,470.49 and 5,237.82

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Solution

The fourth proportional to 8,322.30, 12,470.49 and 5,237.82 is: 7,848.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,322.30 : 12,470.49 = 5,237.82 : x
  2. Step 2: Convert to fraction form
    8,322.30/12,470.49 = 5,237.82/x
  3. Step 3: Cross multiply
    8,322.30x = 12,470.49 × 5,237.82
  4. Step 4: Simplify right side
    8,322.30x = 65,318,181.93
  5. Step 5: Solve for x
    x = 65,318,181.93/8,322.30
  6. Step 6: Final answer
    x = 7,848.57

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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.