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Finding the Fourth Proportional to 13,489.88, 20,221.02 and 5,167.64

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Solution

The fourth proportional to 13,489.88, 20,221.02 and 5,167.64 is: 7,746.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,489.88 : 20,221.02 = 5,167.64 : x
  2. Step 2: Convert to fraction form
    13,489.88/20,221.02 = 5,167.64/x
  3. Step 3: Cross multiply
    13,489.88x = 20,221.02 × 5,167.64
  4. Step 4: Simplify right side
    13,489.88x = 104,494,951.79
  5. Step 5: Solve for x
    x = 104,494,951.79/13,489.88
  6. Step 6: Final answer
    x = 7,746.17

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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.