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Finding the Fourth Proportional to 25,300, 37,954.86 and 11,449

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Solution

The fourth proportional to 25,300, 37,954.86 and 11,449 is: 17,175.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,300 : 37,954.86 = 11,449 : x
  2. Step 2: Convert to fraction form
    25,300/37,954.86 = 11,449/x
  3. Step 3: Cross multiply
    25,300x = 37,954.86 × 11,449
  4. Step 4: Simplify right side
    25,300x = 434,545,192.14
  5. Step 5: Solve for x
    x = 434,545,192.14/25,300
  6. Step 6: Final answer
    x = 17,175.70

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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.