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Finding the Fourth Proportional to 12,205.98, 16,848.36 and 8,679.42

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Solution

The fourth proportional to 12,205.98, 16,848.36 and 8,679.42 is: 11,980.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,205.98 : 16,848.36 = 8,679.42 : x
  2. Step 2: Convert to fraction form
    12,205.98/16,848.36 = 8,679.42/x
  3. Step 3: Cross multiply
    12,205.98x = 16,848.36 × 8,679.42
  4. Step 4: Simplify right side
    12,205.98x = 146,233,992.75
  5. Step 5: Solve for x
    x = 146,233,992.75/12,205.98
  6. Step 6: Final answer
    x = 11,980.52

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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.