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Finding the Fourth Proportional to 27,696.25, 38,220.96 and 15,121

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Solution

The fourth proportional to 27,696.25, 38,220.96 and 15,121 is: 20,867.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,696.25 : 38,220.96 = 15,121 : x
  2. Step 2: Convert to fraction form
    27,696.25/38,220.96 = 15,121/x
  3. Step 3: Cross multiply
    27,696.25x = 38,220.96 × 15,121
  4. Step 4: Simplify right side
    27,696.25x = 577,939,136.16
  5. Step 5: Solve for x
    x = 577,939,136.16/27,696.25
  6. Step 6: Final answer
    x = 20,867.05

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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.