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Finding the Fourth Proportional to 2,945.37, 4,065 and 1,900.47

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Solution

The fourth proportional to 2,945.37, 4,065 and 1,900.47 is: 2,622.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,945.37 : 4,065 = 1,900.47 : x
  2. Step 2: Convert to fraction form
    2,945.37/4,065 = 1,900.47/x
  3. Step 3: Cross multiply
    2,945.37x = 4,065 × 1,900.47
  4. Step 4: Simplify right side
    2,945.37x = 7,725,390.23
  5. Step 5: Solve for x
    x = 7,725,390.23/2,945.37
  6. Step 6: Final answer
    x = 2,622.90

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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.