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Finding the Fourth Proportional to 26,449.75, 39,676.25 and 7,981.75

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Solution

The fourth proportional to 26,449.75, 39,676.25 and 7,981.75 is: 11,973.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,449.75 : 39,676.25 = 7,981.75 : x
  2. Step 2: Convert to fraction form
    26,449.75/39,676.25 = 7,981.75/x
  3. Step 3: Cross multiply
    26,449.75x = 39,676.25 × 7,981.75
  4. Step 4: Simplify right side
    26,449.75x = 316,685,908.44
  5. Step 5: Solve for x
    x = 316,685,908.44/26,449.75
  6. Step 6: Final answer
    x = 11,973.12

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1.5x scale

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.