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Finding the Fourth Proportional to 13,504.70, 18,636 and 8,471.63

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Solution

The fourth proportional to 13,504.70, 18,636 and 8,471.63 is: 11,690.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,504.70 : 18,636 = 8,471.63 : x
  2. Step 2: Convert to fraction form
    13,504.70/18,636 = 8,471.63/x
  3. Step 3: Cross multiply
    13,504.70x = 18,636 × 8,471.63
  4. Step 4: Simplify right side
    13,504.70x = 157,877,296.68
  5. Step 5: Solve for x
    x = 157,877,296.68/13,504.70
  6. Step 6: Final answer
    x = 11,690.54

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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.