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Finding the Fourth Proportional to 12,813.92, 17,683.08 and 8,102.08

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Solution

The fourth proportional to 12,813.92, 17,683.08 and 8,102.08 is: 11,180.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,813.92 : 17,683.08 = 8,102.08 : x
  2. Step 2: Convert to fraction form
    12,813.92/17,683.08 = 8,102.08/x
  3. Step 3: Cross multiply
    12,813.92x = 17,683.08 × 8,102.08
  4. Step 4: Simplify right side
    12,813.92x = 143,269,728.81
  5. Step 5: Solve for x
    x = 143,269,728.81/12,813.92
  6. Step 6: Final answer
    x = 11,180.79

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.