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Finding the Fourth Proportional to 13,954.76, 20,904.78 and 8,099.08

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Solution

The fourth proportional to 13,954.76, 20,904.78 and 8,099.08 is: 12,132.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,954.76 : 20,904.78 = 8,099.08 : x
  2. Step 2: Convert to fraction form
    13,954.76/20,904.78 = 8,099.08/x
  3. Step 3: Cross multiply
    13,954.76x = 20,904.78 × 8,099.08
  4. Step 4: Simplify right side
    13,954.76x = 169,309,485.60
  5. Step 5: Solve for x
    x = 169,309,485.60/13,954.76
  6. Step 6: Final answer
    x = 12,132.74

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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.