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Finding the Fourth Proportional to 12,203, 16,840.99 and 6,897.85

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Solution

The fourth proportional to 12,203, 16,840.99 and 6,897.85 is: 9,519.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,203 : 16,840.99 = 6,897.85 : x
  2. Step 2: Convert to fraction form
    12,203/16,840.99 = 6,897.85/x
  3. Step 3: Cross multiply
    12,203x = 16,840.99 × 6,897.85
  4. Step 4: Simplify right side
    12,203x = 116,166,622.87
  5. Step 5: Solve for x
    x = 116,166,622.87/12,203
  6. Step 6: Final answer
    x = 9,519.51

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1.5x scale

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.