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Finding the Fourth Proportional to 9,845, 14,767.50 and 2,919.50

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Solution

The fourth proportional to 9,845, 14,767.50 and 2,919.50 is: 4,379.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,845 : 14,767.50 = 2,919.50 : x
  2. Step 2: Convert to fraction form
    9,845/14,767.50 = 2,919.50/x
  3. Step 3: Cross multiply
    9,845x = 14,767.50 × 2,919.50
  4. Step 4: Simplify right side
    9,845x = 43,113,716.25
  5. Step 5: Solve for x
    x = 43,113,716.25/9,845
  6. Step 6: Final answer
    x = 4,379.25

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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.