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Finding the Fourth Proportional to 1,900.50, 2,623.17 and 1,072.98

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Solution

The fourth proportional to 1,900.50, 2,623.17 and 1,072.98 is: 1,480.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,900.50 : 2,623.17 = 1,072.98 : x
  2. Step 2: Convert to fraction form
    1,900.50/2,623.17 = 1,072.98/x
  3. Step 3: Cross multiply
    1,900.50x = 2,623.17 × 1,072.98
  4. Step 4: Simplify right side
    1,900.50x = 2,814,608.95
  5. Step 5: Solve for x
    x = 2,814,608.95/1,900.50
  6. Step 6: Final answer
    x = 1,480.98

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.