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Finding the Fourth Proportional to 13,851.64, 20,785.02 and 8,019.64

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Solution

The fourth proportional to 13,851.64, 20,785.02 and 8,019.64 is: 12,033.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,851.64 : 20,785.02 = 8,019.64 : x
  2. Step 2: Convert to fraction form
    13,851.64/20,785.02 = 8,019.64/x
  3. Step 3: Cross multiply
    13,851.64x = 20,785.02 × 8,019.64
  4. Step 4: Simplify right side
    13,851.64x = 166,688,377.79
  5. Step 5: Solve for x
    x = 166,688,377.79/13,851.64
  6. Step 6: Final answer
    x = 12,033.84

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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.