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Finding the Fourth Proportional to 11,964.78, 16,511.49 and 7,245.78

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Solution

The fourth proportional to 11,964.78, 16,511.49 and 7,245.78 is: 9,999.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,964.78 : 16,511.49 = 7,245.78 : x
  2. Step 2: Convert to fraction form
    11,964.78/16,511.49 = 7,245.78/x
  3. Step 3: Cross multiply
    11,964.78x = 16,511.49 × 7,245.78
  4. Step 4: Simplify right side
    11,964.78x = 119,638,624.01
  5. Step 5: Solve for x
    x = 119,638,624.01/11,964.78
  6. Step 6: Final answer
    x = 9,999.23

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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.