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Finding the Fourth Proportional to 37,571, 51,849.60 and 20,804

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Solution

The fourth proportional to 37,571, 51,849.60 and 20,804 is: 28,710.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,571 : 51,849.60 = 20,804 : x
  2. Step 2: Convert to fraction form
    37,571/51,849.60 = 20,804/x
  3. Step 3: Cross multiply
    37,571x = 51,849.60 × 20,804
  4. Step 4: Simplify right side
    37,571x = 1,078,679,078.40
  5. Step 5: Solve for x
    x = 1,078,679,078.40/37,571
  6. Step 6: Final answer
    x = 28,710.42

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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.