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Finding the Fourth Proportional to 2,754.50, 3,800.72 and 1,559.48

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Solution

The fourth proportional to 2,754.50, 3,800.72 and 1,559.48 is: 2,151.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,754.50 : 3,800.72 = 1,559.48 : x
  2. Step 2: Convert to fraction form
    2,754.50/3,800.72 = 1,559.48/x
  3. Step 3: Cross multiply
    2,754.50x = 3,800.72 × 1,559.48
  4. Step 4: Simplify right side
    2,754.50x = 5,927,146.83
  5. Step 5: Solve for x
    x = 5,927,146.83/2,754.50
  6. Step 6: Final answer
    x = 2,151.80

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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.