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Finding the Fourth Proportional to 11,847.21, 16,348.85 and 7,809.09

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Solution

The fourth proportional to 11,847.21, 16,348.85 and 7,809.09 is: 10,776.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,847.21 : 16,348.85 = 7,809.09 : x
  2. Step 2: Convert to fraction form
    11,847.21/16,348.85 = 7,809.09/x
  3. Step 3: Cross multiply
    11,847.21x = 16,348.85 × 7,809.09
  4. Step 4: Simplify right side
    11,847.21x = 127,669,602.00
  5. Step 5: Solve for x
    x = 127,669,602.00/11,847.21
  6. Step 6: Final answer
    x = 10,776.34

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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.