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Finding the Fourth Proportional to 26,378, 39,567 and 7,910

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Solution

The fourth proportional to 26,378, 39,567 and 7,910 is: 11,865

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,378 : 39,567 = 7,910 : x
  2. Step 2: Convert to fraction form
    26,378/39,567 = 7,910/x
  3. Step 3: Cross multiply
    26,378x = 39,567 × 7,910
  4. Step 4: Simplify right side
    26,378x = 312,974,970
  5. Step 5: Solve for x
    x = 312,974,970/26,378
  6. Step 6: Final answer
    x = 11,865

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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.