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Finding the Fourth Proportional to 25,754.72, 38,622.36 and 11,894

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Solution

The fourth proportional to 25,754.72, 38,622.36 and 11,894 is: 17,836.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,754.72 : 38,622.36 = 11,894 : x
  2. Step 2: Convert to fraction form
    25,754.72/38,622.36 = 11,894/x
  3. Step 3: Cross multiply
    25,754.72x = 38,622.36 × 11,894
  4. Step 4: Simplify right side
    25,754.72x = 459,374,349.84
  5. Step 5: Solve for x
    x = 459,374,349.84/25,754.72
  6. Step 6: Final answer
    x = 17,836.51

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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.