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Finding the Fourth Proportional to 9,891, 14,836.50 and 2,965.50

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Solution

The fourth proportional to 9,891, 14,836.50 and 2,965.50 is: 4,448.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,891 : 14,836.50 = 2,965.50 : x
  2. Step 2: Convert to fraction form
    9,891/14,836.50 = 2,965.50/x
  3. Step 3: Cross multiply
    9,891x = 14,836.50 × 2,965.50
  4. Step 4: Simplify right side
    9,891x = 43,997,640.75
  5. Step 5: Solve for x
    x = 43,997,640.75/9,891
  6. Step 6: Final answer
    x = 4,448.25

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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.