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Finding the Fourth Proportional to 37,821, 56,757.42 and 13,197

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Solution

The fourth proportional to 37,821, 56,757.42 and 13,197 is: 19,804.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,821 : 56,757.42 = 13,197 : x
  2. Step 2: Convert to fraction form
    37,821/56,757.42 = 13,197/x
  3. Step 3: Cross multiply
    37,821x = 56,757.42 × 13,197
  4. Step 4: Simplify right side
    37,821x = 749,027,671.74
  5. Step 5: Solve for x
    x = 749,027,671.74/37,821
  6. Step 6: Final answer
    x = 19,804.54

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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.