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Finding the Fourth Proportional to 13,764.76, 18,992.10 and 8,099.75

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Solution

The fourth proportional to 13,764.76, 18,992.10 and 8,099.75 is: 11,175.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,764.76 : 18,992.10 = 8,099.75 : x
  2. Step 2: Convert to fraction form
    13,764.76/18,992.10 = 8,099.75/x
  3. Step 3: Cross multiply
    13,764.76x = 18,992.10 × 8,099.75
  4. Step 4: Simplify right side
    13,764.76x = 153,831,294.27
  5. Step 5: Solve for x
    x = 153,831,294.27/13,764.76
  6. Step 6: Final answer
    x = 11,175.74

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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.