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Finding the Fourth Proportional to 2,594.50, 3,580.41 and 1,663.06

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Solution

The fourth proportional to 2,594.50, 3,580.41 and 1,663.06 is: 2,295.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,594.50 : 3,580.41 = 1,663.06 : x
  2. Step 2: Convert to fraction form
    2,594.50/3,580.41 = 1,663.06/x
  3. Step 3: Cross multiply
    2,594.50x = 3,580.41 × 1,663.06
  4. Step 4: Simplify right side
    2,594.50x = 5,954,436.65
  5. Step 5: Solve for x
    x = 5,954,436.65/2,594.50
  6. Step 6: Final answer
    x = 2,295.02

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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.