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Finding the Fourth Proportional to 43,650, 65,475 and 19,026

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Solution

The fourth proportional to 43,650, 65,475 and 19,026 is: 28,539

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,650 : 65,475 = 19,026 : x
  2. Step 2: Convert to fraction form
    43,650/65,475 = 19,026/x
  3. Step 3: Cross multiply
    43,650x = 65,475 × 19,026
  4. Step 4: Simplify right side
    43,650x = 1,245,727,350
  5. Step 5: Solve for x
    x = 1,245,727,350/43,650
  6. Step 6: Final answer
    x = 28,539

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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.