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Finding the Fourth Proportional to 27,328, 37,706.16 and 15,388.96

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Solution

The fourth proportional to 27,328, 37,706.16 and 15,388.96 is: 21,233.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,328 : 37,706.16 = 15,388.96 : x
  2. Step 2: Convert to fraction form
    27,328/37,706.16 = 15,388.96/x
  3. Step 3: Cross multiply
    27,328x = 37,706.16 × 15,388.96
  4. Step 4: Simplify right side
    27,328x = 580,258,587.99
  5. Step 5: Solve for x
    x = 580,258,587.99/27,328
  6. Step 6: Final answer
    x = 21,233.12

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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.