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Finding the Fourth Proportional to 27,222.70, 37,567.38 and 15,286

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Solution

The fourth proportional to 27,222.70, 37,567.38 and 15,286 is: 21,094.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,222.70 : 37,567.38 = 15,286 : x
  2. Step 2: Convert to fraction form
    27,222.70/37,567.38 = 15,286/x
  3. Step 3: Cross multiply
    27,222.70x = 37,567.38 × 15,286
  4. Step 4: Simplify right side
    27,222.70x = 574,254,970.68
  5. Step 5: Solve for x
    x = 574,254,970.68/27,222.70
  6. Step 6: Final answer
    x = 21,094.71

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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.