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Finding the Fourth Proportional to 2,231.76, 3,343.76 and 1,075.04

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Solution

The fourth proportional to 2,231.76, 3,343.76 and 1,075.04 is: 1,610.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,231.76 : 3,343.76 = 1,075.04 : x
  2. Step 2: Convert to fraction form
    2,231.76/3,343.76 = 1,075.04/x
  3. Step 3: Cross multiply
    2,231.76x = 3,343.76 × 1,075.04
  4. Step 4: Simplify right side
    2,231.76x = 3,594,675.75
  5. Step 5: Solve for x
    x = 3,594,675.75/2,231.76
  6. Step 6: Final answer
    x = 1,610.69

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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.