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Finding the Fourth Proportional to 1,928.91, 2,893.48 and 942.57

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Solution

The fourth proportional to 1,928.91, 2,893.48 and 942.57 is: 1,413.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,928.91 : 2,893.48 = 942.57 : x
  2. Step 2: Convert to fraction form
    1,928.91/2,893.48 = 942.57/x
  3. Step 3: Cross multiply
    1,928.91x = 2,893.48 × 942.57
  4. Step 4: Simplify right side
    1,928.91x = 2,727,307.44
  5. Step 5: Solve for x
    x = 2,727,307.44/1,928.91
  6. Step 6: Final answer
    x = 1,413.91

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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.