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Finding the Fourth Proportional to 2,712.30, 3,743.25 and 1,650.14

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Solution

The fourth proportional to 2,712.30, 3,743.25 and 1,650.14 is: 2,277.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,712.30 : 3,743.25 = 1,650.14 : x
  2. Step 2: Convert to fraction form
    2,712.30/3,743.25 = 1,650.14/x
  3. Step 3: Cross multiply
    2,712.30x = 3,743.25 × 1,650.14
  4. Step 4: Simplify right side
    2,712.30x = 6,176,905.40
  5. Step 5: Solve for x
    x = 6,176,905.40/2,712.30
  6. Step 6: Final answer
    x = 2,277.37

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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.