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Finding the Fourth Proportional to 2,890.78, 4,335.19 and 942.50

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Solution

The fourth proportional to 2,890.78, 4,335.19 and 942.50 is: 1,413.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,890.78 : 4,335.19 = 942.50 : x
  2. Step 2: Convert to fraction form
    2,890.78/4,335.19 = 942.50/x
  3. Step 3: Cross multiply
    2,890.78x = 4,335.19 × 942.50
  4. Step 4: Simplify right side
    2,890.78x = 4,085,916.58
  5. Step 5: Solve for x
    x = 4,085,916.58/2,890.78
  6. Step 6: Final answer
    x = 1,413.43

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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.