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Finding the Fourth Proportional to 2,889.92, 4,335.57 and 942.13

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Solution

The fourth proportional to 2,889.92, 4,335.57 and 942.13 is: 1,413.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,889.92 : 4,335.57 = 942.13 : x
  2. Step 2: Convert to fraction form
    2,889.92/4,335.57 = 942.13/x
  3. Step 3: Cross multiply
    2,889.92x = 4,335.57 × 942.13
  4. Step 4: Simplify right side
    2,889.92x = 4,084,644.18
  5. Step 5: Solve for x
    x = 4,084,644.18/2,889.92
  6. Step 6: Final answer
    x = 1,413.41

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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.