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Finding the Fourth Proportional to 26,509.34, 39,769.88 and 8,739.29

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Solution

The fourth proportional to 26,509.34, 39,769.88 and 8,739.29 is: 13,110.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,509.34 : 39,769.88 = 8,739.29 : x
  2. Step 2: Convert to fraction form
    26,509.34/39,769.88 = 8,739.29/x
  3. Step 3: Cross multiply
    26,509.34x = 39,769.88 × 8,739.29
  4. Step 4: Simplify right side
    26,509.34x = 347,560,570.31
  5. Step 5: Solve for x
    x = 347,560,570.31/26,509.34
  6. Step 6: Final answer
    x = 13,110.87

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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.