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Finding the Fourth Proportional to 13,602.60, 18,770.46 and 8,227.02

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Solution

The fourth proportional to 13,602.60, 18,770.46 and 8,227.02 is: 11,352.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,602.60 : 18,770.46 = 8,227.02 : x
  2. Step 2: Convert to fraction form
    13,602.60/18,770.46 = 8,227.02/x
  3. Step 3: Cross multiply
    13,602.60x = 18,770.46 × 8,227.02
  4. Step 4: Simplify right side
    13,602.60x = 154,424,949.83
  5. Step 5: Solve for x
    x = 154,424,949.83/13,602.60
  6. Step 6: Final answer
    x = 11,352.61

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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.