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Finding the Fourth Proportional to 13,889.82, 19,165.14 and 8,221.74

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Solution

The fourth proportional to 13,889.82, 19,165.14 and 8,221.74 is: 11,344.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,889.82 : 19,165.14 = 8,221.74 : x
  2. Step 2: Convert to fraction form
    13,889.82/19,165.14 = 8,221.74/x
  3. Step 3: Cross multiply
    13,889.82x = 19,165.14 × 8,221.74
  4. Step 4: Simplify right side
    13,889.82x = 157,570,798.14
  5. Step 5: Solve for x
    x = 157,570,798.14/13,889.82
  6. Step 6: Final answer
    x = 11,344.34

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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.