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Finding the Fourth Proportional to 2,590.92, 3,577.50 and 2,091.96

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Solution

The fourth proportional to 2,590.92, 3,577.50 and 2,091.96 is: 2,888.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,590.92 : 3,577.50 = 2,091.96 : x
  2. Step 2: Convert to fraction form
    2,590.92/3,577.50 = 2,091.96/x
  3. Step 3: Cross multiply
    2,590.92x = 3,577.50 × 2,091.96
  4. Step 4: Simplify right side
    2,590.92x = 7,483,986.90
  5. Step 5: Solve for x
    x = 7,483,986.90/2,590.92
  6. Step 6: Final answer
    x = 2,888.54

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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.