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Finding the Fourth Proportional to 47,814, 65,983.32 and 27,942

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Solution

The fourth proportional to 47,814, 65,983.32 and 27,942 is: 38,559.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,814 : 65,983.32 = 27,942 : x
  2. Step 2: Convert to fraction form
    47,814/65,983.32 = 27,942/x
  3. Step 3: Cross multiply
    47,814x = 65,983.32 × 27,942
  4. Step 4: Simplify right side
    47,814x = 1,843,705,927.44
  5. Step 5: Solve for x
    x = 1,843,705,927.44/47,814
  6. Step 6: Final answer
    x = 38,559.96

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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.