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Finding the Fourth Proportional to 2,890.89, 4,335.37 and 942.64

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Solution

The fourth proportional to 2,890.89, 4,335.37 and 942.64 is: 1,413.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,890.89 : 4,335.37 = 942.64 : x
  2. Step 2: Convert to fraction form
    2,890.89/4,335.37 = 942.64/x
  3. Step 3: Cross multiply
    2,890.89x = 4,335.37 × 942.64
  4. Step 4: Simplify right side
    2,890.89x = 4,086,693.18
  5. Step 5: Solve for x
    x = 4,086,693.18/2,890.89
  6. Step 6: Final answer
    x = 1,413.65

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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.