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Finding the Fourth Proportional to 19,874.92, 29,816.04 and 8,181.76

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Solution

The fourth proportional to 19,874.92, 29,816.04 and 8,181.76 is: 12,274.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,874.92 : 29,816.04 = 8,181.76 : x
  2. Step 2: Convert to fraction form
    19,874.92/29,816.04 = 8,181.76/x
  3. Step 3: Cross multiply
    19,874.92x = 29,816.04 × 8,181.76
  4. Step 4: Simplify right side
    19,874.92x = 243,947,683.43
  5. Step 5: Solve for x
    x = 243,947,683.43/19,874.92
  6. Step 6: Final answer
    x = 12,274.15

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1.5x scale

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.