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Finding the Fourth Proportional to 1,115.37, 1,671.23 and 1,072.71

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Solution

The fourth proportional to 1,115.37, 1,671.23 and 1,072.71 is: 1,607.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,115.37 : 1,671.23 = 1,072.71 : x
  2. Step 2: Convert to fraction form
    1,115.37/1,671.23 = 1,072.71/x
  3. Step 3: Cross multiply
    1,115.37x = 1,671.23 × 1,072.71
  4. Step 4: Simplify right side
    1,115.37x = 1,792,747.82
  5. Step 5: Solve for x
    x = 1,792,747.82/1,115.37
  6. Step 6: Final answer
    x = 1,607.31

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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.