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Finding the Fourth Proportional to 1,968.02, 2,952.35 and 942.02

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Solution

The fourth proportional to 1,968.02, 2,952.35 and 942.02 is: 1,413.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,968.02 : 2,952.35 = 942.02 : x
  2. Step 2: Convert to fraction form
    1,968.02/2,952.35 = 942.02/x
  3. Step 3: Cross multiply
    1,968.02x = 2,952.35 × 942.02
  4. Step 4: Simplify right side
    1,968.02x = 2,781,172.75
  5. Step 5: Solve for x
    x = 2,781,172.75/1,968.02
  6. Step 6: Final answer
    x = 1,413.18

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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.