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Finding the Fourth Proportional to 2,138.33, 2,949.82 and 1,475.55

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Solution

The fourth proportional to 2,138.33, 2,949.82 and 1,475.55 is: 2,035.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,138.33 : 2,949.82 = 1,475.55 : x
  2. Step 2: Convert to fraction form
    2,138.33/2,949.82 = 1,475.55/x
  3. Step 3: Cross multiply
    2,138.33x = 2,949.82 × 1,475.55
  4. Step 4: Simplify right side
    2,138.33x = 4,352,603.21
  5. Step 5: Solve for x
    x = 4,352,603.21/2,138.33
  6. Step 6: Final answer
    x = 2,035.51

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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.