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Finding the Fourth Proportional to 27,285, 37,653.48 and 15,348.24

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Solution

The fourth proportional to 27,285, 37,653.48 and 15,348.24 is: 21,180.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,285 : 37,653.48 = 15,348.24 : x
  2. Step 2: Convert to fraction form
    27,285/37,653.48 = 15,348.24/x
  3. Step 3: Cross multiply
    27,285x = 37,653.48 × 15,348.24
  4. Step 4: Simplify right side
    27,285x = 577,914,647.88
  5. Step 5: Solve for x
    x = 577,914,647.88/27,285
  6. Step 6: Final answer
    x = 21,180.67

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1.5x scale

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.