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Finding the Fourth Proportional to 12,878.44, 17,772.69 and 7,213.43

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Solution

The fourth proportional to 12,878.44, 17,772.69 and 7,213.43 is: 9,954.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,878.44 : 17,772.69 = 7,213.43 : x
  2. Step 2: Convert to fraction form
    12,878.44/17,772.69 = 7,213.43/x
  3. Step 3: Cross multiply
    12,878.44x = 17,772.69 × 7,213.43
  4. Step 4: Simplify right side
    12,878.44x = 128,202,019.16
  5. Step 5: Solve for x
    x = 128,202,019.16/12,878.44
  6. Step 6: Final answer
    x = 9,954.78

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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.