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Finding the Fourth Proportional to 27,928, 38,540.72 and 15,352.84

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Solution

The fourth proportional to 27,928, 38,540.72 and 15,352.84 is: 21,186.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,928 : 38,540.72 = 15,352.84 : x
  2. Step 2: Convert to fraction form
    27,928/38,540.72 = 15,352.84/x
  3. Step 3: Cross multiply
    27,928x = 38,540.72 × 15,352.84
  4. Step 4: Simplify right side
    27,928x = 591,709,507.64
  5. Step 5: Solve for x
    x = 591,709,507.64/27,928
  6. Step 6: Final answer
    x = 21,186.96

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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.