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Finding the Fourth Proportional to 27,657.84, 38,167 and 15,722.48

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Solution

The fourth proportional to 27,657.84, 38,167 and 15,722.48 is: 21,696.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,657.84 : 38,167 = 15,722.48 : x
  2. Step 2: Convert to fraction form
    27,657.84/38,167 = 15,722.48/x
  3. Step 3: Cross multiply
    27,657.84x = 38,167 × 15,722.48
  4. Step 4: Simplify right side
    27,657.84x = 600,079,894.16
  5. Step 5: Solve for x
    x = 600,079,894.16/27,657.84
  6. Step 6: Final answer
    x = 21,696.56

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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.