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Finding the Fourth Proportional to 2,801.47, 4,198.74 and 2,453.98

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Solution

The fourth proportional to 2,801.47, 4,198.74 and 2,453.98 is: 3,677.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,801.47 : 4,198.74 = 2,453.98 : x
  2. Step 2: Convert to fraction form
    2,801.47/4,198.74 = 2,453.98/x
  3. Step 3: Cross multiply
    2,801.47x = 4,198.74 × 2,453.98
  4. Step 4: Simplify right side
    2,801.47x = 10,303,623.99
  5. Step 5: Solve for x
    x = 10,303,623.99/2,801.47
  6. Step 6: Final answer
    x = 3,677.93

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