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Finding the Fourth Proportional to 2,296.42, 3,427.01 and 2,050.38

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Solution

The fourth proportional to 2,296.42, 3,427.01 and 2,050.38 is: 3,059.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,296.42 : 3,427.01 = 2,050.38 : x
  2. Step 2: Convert to fraction form
    2,296.42/3,427.01 = 2,050.38/x
  3. Step 3: Cross multiply
    2,296.42x = 3,427.01 × 2,050.38
  4. Step 4: Simplify right side
    2,296.42x = 7,026,670.20
  5. Step 5: Solve for x
    x = 7,026,670.20/2,296.42
  6. Step 6: Final answer
    x = 3,059.84

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.