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Finding the Fourth Proportional to 27,170, 37,494.72 and 15,847.36

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Solution

The fourth proportional to 27,170, 37,494.72 and 15,847.36 is: 21,869.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,170 : 37,494.72 = 15,847.36 : x
  2. Step 2: Convert to fraction form
    27,170/37,494.72 = 15,847.36/x
  3. Step 3: Cross multiply
    27,170x = 37,494.72 × 15,847.36
  4. Step 4: Simplify right side
    27,170x = 594,192,325.94
  5. Step 5: Solve for x
    x = 594,192,325.94/27,170
  6. Step 6: Final answer
    x = 21,869.43

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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.