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Finding the Fourth Proportional to 2,600.50, 3,590.41 and 1,607.24

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Solution

The fourth proportional to 2,600.50, 3,590.41 and 1,607.24 is: 2,219.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,600.50 : 3,590.41 = 1,607.24 : x
  2. Step 2: Convert to fraction form
    2,600.50/3,590.41 = 1,607.24/x
  3. Step 3: Cross multiply
    2,600.50x = 3,590.41 × 1,607.24
  4. Step 4: Simplify right side
    2,600.50x = 5,770,632.62
  5. Step 5: Solve for x
    x = 5,770,632.62/2,600.50
  6. Step 6: Final answer
    x = 2,219.05

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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.