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Finding the Fourth Proportional to 2,590.90, 3,884.01 and 946.29

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Solution

The fourth proportional to 2,590.90, 3,884.01 and 946.29 is: 1,418.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,590.90 : 3,884.01 = 946.29 : x
  2. Step 2: Convert to fraction form
    2,590.90/3,884.01 = 946.29/x
  3. Step 3: Cross multiply
    2,590.90x = 3,884.01 × 946.29
  4. Step 4: Simplify right side
    2,590.90x = 3,675,399.82
  5. Step 5: Solve for x
    x = 3,675,399.82/2,590.90
  6. Step 6: Final answer
    x = 1,418.58

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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.