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Finding the Fourth Proportional to 8,452, 12,664.27 and 5,155.08

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Solution

The fourth proportional to 8,452, 12,664.27 and 5,155.08 is: 7,724.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,452 : 12,664.27 = 5,155.08 : x
  2. Step 2: Convert to fraction form
    8,452/12,664.27 = 5,155.08/x
  3. Step 3: Cross multiply
    8,452x = 12,664.27 × 5,155.08
  4. Step 4: Simplify right side
    8,452x = 65,285,324.99
  5. Step 5: Solve for x
    x = 65,285,324.99/8,452
  6. Step 6: Final answer
    x = 7,724.25

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Why These Related Problems?

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