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Finding the Fourth Proportional to 27,152, 37,469.76 and 15,376

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Solution

The fourth proportional to 27,152, 37,469.76 and 15,376 is: 21,218.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,152 : 37,469.76 = 15,376 : x
  2. Step 2: Convert to fraction form
    27,152/37,469.76 = 15,376/x
  3. Step 3: Cross multiply
    27,152x = 37,469.76 × 15,376
  4. Step 4: Simplify right side
    27,152x = 576,135,029.76
  5. Step 5: Solve for x
    x = 576,135,029.76/27,152
  6. Step 6: Final answer
    x = 21,218.88

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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.