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Finding the Fourth Proportional to 17,138.94, 25,712.28 and 7,278.54

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Solution

The fourth proportional to 17,138.94, 25,712.28 and 7,278.54 is: 10,919.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,138.94 : 25,712.28 = 7,278.54 : x
  2. Step 2: Convert to fraction form
    17,138.94/25,712.28 = 7,278.54/x
  3. Step 3: Cross multiply
    17,138.94x = 25,712.28 × 7,278.54
  4. Step 4: Simplify right side
    17,138.94x = 187,147,858.47
  5. Step 5: Solve for x
    x = 187,147,858.47/17,138.94
  6. Step 6: Final answer
    x = 10,919.45

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.