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Finding the Fourth Proportional to 2,058.62, 2,840.87 and 1,174.40

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Solution

The fourth proportional to 2,058.62, 2,840.87 and 1,174.40 is: 1,620.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,058.62 : 2,840.87 = 1,174.40 : x
  2. Step 2: Convert to fraction form
    2,058.62/2,840.87 = 1,174.40/x
  3. Step 3: Cross multiply
    2,058.62x = 2,840.87 × 1,174.40
  4. Step 4: Simplify right side
    2,058.62x = 3,336,317.73
  5. Step 5: Solve for x
    x = 3,336,317.73/2,058.62
  6. Step 6: Final answer
    x = 1,620.66

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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.