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Finding the Fourth Proportional to 8,004.80, 12,005.76 and 2,739.20

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Solution

The fourth proportional to 8,004.80, 12,005.76 and 2,739.20 is: 4,108.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,004.80 : 12,005.76 = 2,739.20 : x
  2. Step 2: Convert to fraction form
    8,004.80/12,005.76 = 2,739.20/x
  3. Step 3: Cross multiply
    8,004.80x = 12,005.76 × 2,739.20
  4. Step 4: Simplify right side
    8,004.80x = 32,886,177.79
  5. Step 5: Solve for x
    x = 32,886,177.79/8,004.80
  6. Step 6: Final answer
    x = 4,108.31

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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.