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Finding the Fourth Proportional to 2,015.25, 3,022.63 and 554.21

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Solution

The fourth proportional to 2,015.25, 3,022.63 and 554.21 is: 831.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,015.25 : 3,022.63 = 554.21 : x
  2. Step 2: Convert to fraction form
    2,015.25/3,022.63 = 554.21/x
  3. Step 3: Cross multiply
    2,015.25x = 3,022.63 × 554.21
  4. Step 4: Simplify right side
    2,015.25x = 1,675,166.61
  5. Step 5: Solve for x
    x = 1,675,166.61/2,015.25
  6. Step 6: Final answer
    x = 831.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.