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Finding the Fourth Proportional to 47,811, 65,983.02 and 27,942.84

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Solution

The fourth proportional to 47,811, 65,983.02 and 27,942.84 is: 38,563.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,811 : 65,983.02 = 27,942.84 : x
  2. Step 2: Convert to fraction form
    47,811/65,983.02 = 27,942.84/x
  3. Step 3: Cross multiply
    47,811x = 65,983.02 × 27,942.84
  4. Step 4: Simplify right side
    47,811x = 1,843,752,970.58
  5. Step 5: Solve for x
    x = 1,843,752,970.58/47,811
  6. Step 6: Final answer
    x = 38,563.36

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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.