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Finding the Fourth Proportional to 25,929, 35,786.34 and 19,630.44

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Solution

The fourth proportional to 25,929, 35,786.34 and 19,630.44 is: 27,093.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,929 : 35,786.34 = 19,630.44 : x
  2. Step 2: Convert to fraction form
    25,929/35,786.34 = 19,630.44/x
  3. Step 3: Cross multiply
    25,929x = 35,786.34 × 19,630.44
  4. Step 4: Simplify right side
    25,929x = 702,501,600.19
  5. Step 5: Solve for x
    x = 702,501,600.19/25,929
  6. Step 6: Final answer
    x = 27,093.28

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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.