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Finding the Fourth Proportional to 1,981.44, 2,973.02 and 942.18

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Solution

The fourth proportional to 1,981.44, 2,973.02 and 942.18 is: 1,413.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,981.44 : 2,973.02 = 942.18 : x
  2. Step 2: Convert to fraction form
    1,981.44/2,973.02 = 942.18/x
  3. Step 3: Cross multiply
    1,981.44x = 2,973.02 × 942.18
  4. Step 4: Simplify right side
    1,981.44x = 2,801,115.27
  5. Step 5: Solve for x
    x = 2,801,115.27/1,981.44
  6. Step 6: Final answer
    x = 1,413.68

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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.