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Finding the Fourth Proportional to 12,305.98, 16,980.41 and 6,927.63

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Solution

The fourth proportional to 12,305.98, 16,980.41 and 6,927.63 is: 9,559.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,305.98 : 16,980.41 = 6,927.63 : x
  2. Step 2: Convert to fraction form
    12,305.98/16,980.41 = 6,927.63/x
  3. Step 3: Cross multiply
    12,305.98x = 16,980.41 × 6,927.63
  4. Step 4: Simplify right side
    12,305.98x = 117,633,997.73
  5. Step 5: Solve for x
    x = 117,633,997.73/12,305.98
  6. Step 6: Final answer
    x = 9,559.09

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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.