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Finding the Fourth Proportional to 8,954, 13,431.04 and 2,798

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Solution

The fourth proportional to 8,954, 13,431.04 and 2,798 is: 4,197.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,954 : 13,431.04 = 2,798 : x
  2. Step 2: Convert to fraction form
    8,954/13,431.04 = 2,798/x
  3. Step 3: Cross multiply
    8,954x = 13,431.04 × 2,798
  4. Step 4: Simplify right side
    8,954x = 37,580,049.92
  5. Step 5: Solve for x
    x = 37,580,049.92/8,954
  6. Step 6: Final answer
    x = 4,197.01

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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.