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Finding the Fourth Proportional to 27,672.70, 38,188.14 and 15,736.02

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Solution

The fourth proportional to 27,672.70, 38,188.14 and 15,736.02 is: 21,715.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,672.70 : 38,188.14 = 15,736.02 : x
  2. Step 2: Convert to fraction form
    27,672.70/38,188.14 = 15,736.02/x
  3. Step 3: Cross multiply
    27,672.70x = 38,188.14 × 15,736.02
  4. Step 4: Simplify right side
    27,672.70x = 600,929,334.80
  5. Step 5: Solve for x
    x = 600,929,334.80/27,672.70
  6. Step 6: Final answer
    x = 21,715.60

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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.