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Finding the Fourth Proportional to 26,354, 39,531 and 7,886

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Solution

The fourth proportional to 26,354, 39,531 and 7,886 is: 11,829

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,354 : 39,531 = 7,886 : x
  2. Step 2: Convert to fraction form
    26,354/39,531 = 7,886/x
  3. Step 3: Cross multiply
    26,354x = 39,531 × 7,886
  4. Step 4: Simplify right side
    26,354x = 311,741,466
  5. Step 5: Solve for x
    x = 311,741,466/26,354
  6. Step 6: Final answer
    x = 11,829

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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.