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Finding the Fourth Proportional to 8,160.57, 12,223.76 and 5,224.05

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Solution

The fourth proportional to 8,160.57, 12,223.76 and 5,224.05 is: 7,825.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,160.57 : 12,223.76 = 5,224.05 : x
  2. Step 2: Convert to fraction form
    8,160.57/12,223.76 = 5,224.05/x
  3. Step 3: Cross multiply
    8,160.57x = 12,223.76 × 5,224.05
  4. Step 4: Simplify right side
    8,160.57x = 63,857,507.31
  5. Step 5: Solve for x
    x = 63,857,507.31/8,160.57
  6. Step 6: Final answer
    x = 7,825.13

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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.