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Finding the Fourth Proportional to 2,124.75, 3,188.19 and 1,015.41

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Solution

The fourth proportional to 2,124.75, 3,188.19 and 1,015.41 is: 1,523.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,124.75 : 3,188.19 = 1,015.41 : x
  2. Step 2: Convert to fraction form
    2,124.75/3,188.19 = 1,015.41/x
  3. Step 3: Cross multiply
    2,124.75x = 3,188.19 × 1,015.41
  4. Step 4: Simplify right side
    2,124.75x = 3,237,320.01
  5. Step 5: Solve for x
    x = 3,237,320.01/2,124.75
  6. Step 6: Final answer
    x = 1,523.62

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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.