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Finding the Fourth Proportional to 12,889.47, 17,786.19 and 7,223.73

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Solution

The fourth proportional to 12,889.47, 17,786.19 and 7,223.73 is: 9,968.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,889.47 : 17,786.19 = 7,223.73 : x
  2. Step 2: Convert to fraction form
    12,889.47/17,786.19 = 7,223.73/x
  3. Step 3: Cross multiply
    12,889.47x = 17,786.19 × 7,223.73
  4. Step 4: Simplify right side
    12,889.47x = 128,482,634.29
  5. Step 5: Solve for x
    x = 128,482,634.29/12,889.47
  6. Step 6: Final answer
    x = 9,968.03

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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.