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Finding the Fourth Proportional to 13,194.58, 18,208.54 and 7,144.88

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Solution

The fourth proportional to 13,194.58, 18,208.54 and 7,144.88 is: 9,859.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,194.58 : 18,208.54 = 7,144.88 : x
  2. Step 2: Convert to fraction form
    13,194.58/18,208.54 = 7,144.88/x
  3. Step 3: Cross multiply
    13,194.58x = 18,208.54 × 7,144.88
  4. Step 4: Simplify right side
    13,194.58x = 130,097,833.28
  5. Step 5: Solve for x
    x = 130,097,833.28/13,194.58
  6. Step 6: Final answer
    x = 9,859.95

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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.