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Finding the Fourth Proportional to 8,940, 13,399.56 and 3,091.44

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Solution

The fourth proportional to 8,940, 13,399.56 and 3,091.44 is: 4,633.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,940 : 13,399.56 = 3,091.44 : x
  2. Step 2: Convert to fraction form
    8,940/13,399.56 = 3,091.44/x
  3. Step 3: Cross multiply
    8,940x = 13,399.56 × 3,091.44
  4. Step 4: Simplify right side
    8,940x = 41,423,935.77
  5. Step 5: Solve for x
    x = 41,423,935.77/8,940
  6. Step 6: Final answer
    x = 4,633.55

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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.