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Finding the Fourth Proportional to 26,638, 39,957 and 7,182

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Solution

The fourth proportional to 26,638, 39,957 and 7,182 is: 10,773

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,638 : 39,957 = 7,182 : x
  2. Step 2: Convert to fraction form
    26,638/39,957 = 7,182/x
  3. Step 3: Cross multiply
    26,638x = 39,957 × 7,182
  4. Step 4: Simplify right side
    26,638x = 286,971,174
  5. Step 5: Solve for x
    x = 286,971,174/26,638
  6. Step 6: Final answer
    x = 10,773

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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.