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Finding the Fourth Proportional to 11,739.84, 16,203.85 and 7,969.29

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Solution

The fourth proportional to 11,739.84, 16,203.85 and 7,969.29 is: 10,999.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,739.84 : 16,203.85 = 7,969.29 : x
  2. Step 2: Convert to fraction form
    11,739.84/16,203.85 = 7,969.29/x
  3. Step 3: Cross multiply
    11,739.84x = 16,203.85 × 7,969.29
  4. Step 4: Simplify right side
    11,739.84x = 129,133,099.08
  5. Step 5: Solve for x
    x = 129,133,099.08/11,739.84
  6. Step 6: Final answer
    x = 10,999.57

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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.