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Finding the Fourth Proportional to 12,209, 16,848.42 and 6,620

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Solution

The fourth proportional to 12,209, 16,848.42 and 6,620 is: 9,135.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,209 : 16,848.42 = 6,620 : x
  2. Step 2: Convert to fraction form
    12,209/16,848.42 = 6,620/x
  3. Step 3: Cross multiply
    12,209x = 16,848.42 × 6,620
  4. Step 4: Simplify right side
    12,209x = 111,536,540.40
  5. Step 5: Solve for x
    x = 111,536,540.40/12,209
  6. Step 6: Final answer
    x = 9,135.60

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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.