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Finding the Fourth Proportional to 13,736.21, 18,953.18 and 8,071.88

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Solution

The fourth proportional to 13,736.21, 18,953.18 and 8,071.88 is: 11,137.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,736.21 : 18,953.18 = 8,071.88 : x
  2. Step 2: Convert to fraction form
    13,736.21/18,953.18 = 8,071.88/x
  3. Step 3: Cross multiply
    13,736.21x = 18,953.18 × 8,071.88
  4. Step 4: Simplify right side
    13,736.21x = 152,987,794.58
  5. Step 5: Solve for x
    x = 152,987,794.58/13,736.21
  6. Step 6: Final answer
    x = 11,137.56

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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.