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Finding the Fourth Proportional to 13,388.10, 20,086.98 and 8,133.84

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Solution

The fourth proportional to 13,388.10, 20,086.98 and 8,133.84 is: 12,203.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,388.10 : 20,086.98 = 8,133.84 : x
  2. Step 2: Convert to fraction form
    13,388.10/20,086.98 = 8,133.84/x
  3. Step 3: Cross multiply
    13,388.10x = 20,086.98 × 8,133.84
  4. Step 4: Simplify right side
    13,388.10x = 163,384,281.40
  5. Step 5: Solve for x
    x = 163,384,281.40/13,388.10
  6. Step 6: Final answer
    x = 12,203.69

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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.