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Finding the Fourth Proportional to 23,138.16, 34,701.48 and 18,978

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Solution

The fourth proportional to 23,138.16, 34,701.48 and 18,978 is: 28,462.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,138.16 : 34,701.48 = 18,978 : x
  2. Step 2: Convert to fraction form
    23,138.16/34,701.48 = 18,978/x
  3. Step 3: Cross multiply
    23,138.16x = 34,701.48 × 18,978
  4. Step 4: Simplify right side
    23,138.16x = 658,564,687.44
  5. Step 5: Solve for x
    x = 658,564,687.44/23,138.16
  6. Step 6: Final answer
    x = 28,462.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.