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Finding the Fourth Proportional to 9,989, 14,984.22 and 3,833

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Solution

The fourth proportional to 9,989, 14,984.22 and 3,833 is: 5,749.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,989 : 14,984.22 = 3,833 : x
  2. Step 2: Convert to fraction form
    9,989/14,984.22 = 3,833/x
  3. Step 3: Cross multiply
    9,989x = 14,984.22 × 3,833
  4. Step 4: Simplify right side
    9,989x = 57,434,515.26
  5. Step 5: Solve for x
    x = 57,434,515.26/9,989
  6. Step 6: Final answer
    x = 5,749.78

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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.