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Finding the Fourth Proportional to 43,977, 65,965.50 and 19,353

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Solution

The fourth proportional to 43,977, 65,965.50 and 19,353 is: 29,029.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,977 : 65,965.50 = 19,353 : x
  2. Step 2: Convert to fraction form
    43,977/65,965.50 = 19,353/x
  3. Step 3: Cross multiply
    43,977x = 65,965.50 × 19,353
  4. Step 4: Simplify right side
    43,977x = 1,276,630,321.50
  5. Step 5: Solve for x
    x = 1,276,630,321.50/43,977
  6. Step 6: Final answer
    x = 29,029.50

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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.