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Finding the Fourth Proportional to 2,047.74, 3,071.82 and 749.34

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Solution

The fourth proportional to 2,047.74, 3,071.82 and 749.34 is: 1,124.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,047.74 : 3,071.82 = 749.34 : x
  2. Step 2: Convert to fraction form
    2,047.74/3,071.82 = 749.34/x
  3. Step 3: Cross multiply
    2,047.74x = 3,071.82 × 749.34
  4. Step 4: Simplify right side
    2,047.74x = 2,301,837.60
  5. Step 5: Solve for x
    x = 2,301,837.60/2,047.74
  6. Step 6: Final answer
    x = 1,124.09

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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.