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Finding the Fourth Proportional to 36,808, 55,212 and 9,106

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Solution

The fourth proportional to 36,808, 55,212 and 9,106 is: 13,659

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,808 : 55,212 = 9,106 : x
  2. Step 2: Convert to fraction form
    36,808/55,212 = 9,106/x
  3. Step 3: Cross multiply
    36,808x = 55,212 × 9,106
  4. Step 4: Simplify right side
    36,808x = 502,760,472
  5. Step 5: Solve for x
    x = 502,760,472/36,808
  6. Step 6: Final answer
    x = 13,659

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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.