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Finding the Fourth Proportional to 27,640, 38,143.20 and 15,064.84

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Solution

The fourth proportional to 27,640, 38,143.20 and 15,064.84 is: 20,789.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,640 : 38,143.20 = 15,064.84 : x
  2. Step 2: Convert to fraction form
    27,640/38,143.20 = 15,064.84/x
  3. Step 3: Cross multiply
    27,640x = 38,143.20 × 15,064.84
  4. Step 4: Simplify right side
    27,640x = 574,621,205.09
  5. Step 5: Solve for x
    x = 574,621,205.09/27,640
  6. Step 6: Final answer
    x = 20,789.48

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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.