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Finding the Fourth Proportional to 12,951.45, 17,872.97 and 7,286.20

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Solution

The fourth proportional to 12,951.45, 17,872.97 and 7,286.20 is: 10,054.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,951.45 : 17,872.97 = 7,286.20 : x
  2. Step 2: Convert to fraction form
    12,951.45/17,872.97 = 7,286.20/x
  3. Step 3: Cross multiply
    12,951.45x = 17,872.97 × 7,286.20
  4. Step 4: Simplify right side
    12,951.45x = 130,225,908.22
  5. Step 5: Solve for x
    x = 130,225,908.22/12,951.45
  6. Step 6: Final answer
    x = 10,054.93

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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.