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Finding the Fourth Proportional to 13,873, 19,144.38 and 8,208.04

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Solution

The fourth proportional to 13,873, 19,144.38 and 8,208.04 is: 11,326.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,873 : 19,144.38 = 8,208.04 : x
  2. Step 2: Convert to fraction form
    13,873/19,144.38 = 8,208.04/x
  3. Step 3: Cross multiply
    13,873x = 19,144.38 × 8,208.04
  4. Step 4: Simplify right side
    13,873x = 157,137,836.82
  5. Step 5: Solve for x
    x = 157,137,836.82/13,873
  6. Step 6: Final answer
    x = 11,326.88

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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.