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Finding the Fourth Proportional to 2,059.02, 3,087.16 and 742.10

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Solution

The fourth proportional to 2,059.02, 3,087.16 and 742.10 is: 1,112.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,059.02 : 3,087.16 = 742.10 : x
  2. Step 2: Convert to fraction form
    2,059.02/3,087.16 = 742.10/x
  3. Step 3: Cross multiply
    2,059.02x = 3,087.16 × 742.10
  4. Step 4: Simplify right side
    2,059.02x = 2,290,964.14
  5. Step 5: Solve for x
    x = 2,290,964.14/2,059.02
  6. Step 6: Final answer
    x = 1,112.65

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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.