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Finding the Fourth Proportional to 29,267, 40,388.75 and 15,838.54

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Solution

The fourth proportional to 29,267, 40,388.75 and 15,838.54 is: 21,857.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,267 : 40,388.75 = 15,838.54 : x
  2. Step 2: Convert to fraction form
    29,267/40,388.75 = 15,838.54/x
  3. Step 3: Cross multiply
    29,267x = 40,388.75 × 15,838.54
  4. Step 4: Simplify right side
    29,267x = 639,698,551.29
  5. Step 5: Solve for x
    x = 639,698,551.29/29,267
  6. Step 6: Final answer
    x = 21,857.33

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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.