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Finding the Fourth Proportional to 6,643.38, 9,962.25 and 2,943

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Solution

The fourth proportional to 6,643.38, 9,962.25 and 2,943 is: 4,413.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,643.38 : 9,962.25 = 2,943 : x
  2. Step 2: Convert to fraction form
    6,643.38/9,962.25 = 2,943/x
  3. Step 3: Cross multiply
    6,643.38x = 9,962.25 × 2,943
  4. Step 4: Simplify right side
    6,643.38x = 29,318,901.75
  5. Step 5: Solve for x
    x = 29,318,901.75/6,643.38
  6. Step 6: Final answer
    x = 4,413.25

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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.