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Finding the Fourth Proportional to 12,004.40, 17,991.30 and 6,739.40

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Solution

The fourth proportional to 12,004.40, 17,991.30 and 6,739.40 is: 10,100.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,004.40 : 17,991.30 = 6,739.40 : x
  2. Step 2: Convert to fraction form
    12,004.40/17,991.30 = 6,739.40/x
  3. Step 3: Cross multiply
    12,004.40x = 17,991.30 × 6,739.40
  4. Step 4: Simplify right side
    12,004.40x = 121,250,567.22
  5. Step 5: Solve for x
    x = 121,250,567.22/12,004.40
  6. Step 6: Final answer
    x = 10,100.51

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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.