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Finding the Fourth Proportional to 27,773, 38,326.74 and 15,197.75

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Solution

The fourth proportional to 27,773, 38,326.74 and 15,197.75 is: 20,972.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,773 : 38,326.74 = 15,197.75 : x
  2. Step 2: Convert to fraction form
    27,773/38,326.74 = 15,197.75/x
  3. Step 3: Cross multiply
    27,773x = 38,326.74 × 15,197.75
  4. Step 4: Simplify right side
    27,773x = 582,480,212.84
  5. Step 5: Solve for x
    x = 582,480,212.84/27,773
  6. Step 6: Final answer
    x = 20,972.90

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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.