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Finding the Fourth Proportional to 9,919, 14,884.28 and 4,447

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Solution

The fourth proportional to 9,919, 14,884.28 and 4,447 is: 6,673.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,919 : 14,884.28 = 4,447 : x
  2. Step 2: Convert to fraction form
    9,919/14,884.28 = 4,447/x
  3. Step 3: Cross multiply
    9,919x = 14,884.28 × 4,447
  4. Step 4: Simplify right side
    9,919x = 66,190,393.16
  5. Step 5: Solve for x
    x = 66,190,393.16/9,919
  6. Step 6: Final answer
    x = 6,673.09

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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.