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Finding the Fourth Proportional to 2,942.02, 4,413.03 and 1,398.34

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Solution

The fourth proportional to 2,942.02, 4,413.03 and 1,398.34 is: 2,097.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,942.02 : 4,413.03 = 1,398.34 : x
  2. Step 2: Convert to fraction form
    2,942.02/4,413.03 = 1,398.34/x
  3. Step 3: Cross multiply
    2,942.02x = 4,413.03 × 1,398.34
  4. Step 4: Simplify right side
    2,942.02x = 6,170,916.37
  5. Step 5: Solve for x
    x = 6,170,916.37/2,942.02
  6. Step 6: Final answer
    x = 2,097.51

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Similar ratio
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1.5x scale

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.