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Finding the Fourth Proportional to 13,690, 18,884.64 and 9,205.84

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Solution

The fourth proportional to 13,690, 18,884.64 and 9,205.84 is: 12,698.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,690 : 18,884.64 = 9,205.84 : x
  2. Step 2: Convert to fraction form
    13,690/18,884.64 = 9,205.84/x
  3. Step 3: Cross multiply
    13,690x = 18,884.64 × 9,205.84
  4. Step 4: Simplify right side
    13,690x = 173,848,974.30
  5. Step 5: Solve for x
    x = 173,848,974.30/13,690
  6. Step 6: Final answer
    x = 12,698.98

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.