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Finding the Fourth Proportional to 11,999.70, 18,007.65 and 7,829.55

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Solution

The fourth proportional to 11,999.70, 18,007.65 and 7,829.55 is: 11,749.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,999.70 : 18,007.65 = 7,829.55 : x
  2. Step 2: Convert to fraction form
    11,999.70/18,007.65 = 7,829.55/x
  3. Step 3: Cross multiply
    11,999.70x = 18,007.65 × 7,829.55
  4. Step 4: Simplify right side
    11,999.70x = 140,991,796.06
  5. Step 5: Solve for x
    x = 140,991,796.06/11,999.70
  6. Step 6: Final answer
    x = 11,749.61

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.