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Finding the Fourth Proportional to 13,774.01, 19,008.20 and 8,109

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Solution

The fourth proportional to 13,774.01, 19,008.20 and 8,109 is: 11,190.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,774.01 : 19,008.20 = 8,109 : x
  2. Step 2: Convert to fraction form
    13,774.01/19,008.20 = 8,109/x
  3. Step 3: Cross multiply
    13,774.01x = 19,008.20 × 8,109
  4. Step 4: Simplify right side
    13,774.01x = 154,137,514.07
  5. Step 5: Solve for x
    x = 154,137,514.07/13,774.01
  6. Step 6: Final answer
    x = 11,190.46

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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.