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Finding the Fourth Proportional to 2,600.33, 3,590.19 and 1,538.44

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Solution

The fourth proportional to 2,600.33, 3,590.19 and 1,538.44 is: 2,124.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,600.33 : 3,590.19 = 1,538.44 : x
  2. Step 2: Convert to fraction form
    2,600.33/3,590.19 = 1,538.44/x
  3. Step 3: Cross multiply
    2,600.33x = 3,590.19 × 1,538.44
  4. Step 4: Simplify right side
    2,600.33x = 5,523,280.04
  5. Step 5: Solve for x
    x = 5,523,280.04/2,600.33
  6. Step 6: Final answer
    x = 2,124.07

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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.