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Finding the Fourth Proportional to 26,004.80, 39,016.80 and 8,475.20

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Solution

The fourth proportional to 26,004.80, 39,016.80 and 8,475.20 is: 12,715.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,004.80 : 39,016.80 = 8,475.20 : x
  2. Step 2: Convert to fraction form
    26,004.80/39,016.80 = 8,475.20/x
  3. Step 3: Cross multiply
    26,004.80x = 39,016.80 × 8,475.20
  4. Step 4: Simplify right side
    26,004.80x = 330,675,183.36
  5. Step 5: Solve for x
    x = 330,675,183.36/26,004.80
  6. Step 6: Final answer
    x = 12,715.93

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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.