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Finding the Fourth Proportional to 26,256.88, 39,376.80 and 8,722

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Solution

The fourth proportional to 26,256.88, 39,376.80 and 8,722 is: 13,080.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,256.88 : 39,376.80 = 8,722 : x
  2. Step 2: Convert to fraction form
    26,256.88/39,376.80 = 8,722/x
  3. Step 3: Cross multiply
    26,256.88x = 39,376.80 × 8,722
  4. Step 4: Simplify right side
    26,256.88x = 343,444,449.60
  5. Step 5: Solve for x
    x = 343,444,449.60/26,256.88
  6. Step 6: Final answer
    x = 13,080.17

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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.