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Finding the Fourth Proportional to 25,638, 38,457 and 7,170

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Solution

The fourth proportional to 25,638, 38,457 and 7,170 is: 10,755

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,638 : 38,457 = 7,170 : x
  2. Step 2: Convert to fraction form
    25,638/38,457 = 7,170/x
  3. Step 3: Cross multiply
    25,638x = 38,457 × 7,170
  4. Step 4: Simplify right side
    25,638x = 275,736,690
  5. Step 5: Solve for x
    x = 275,736,690/25,638
  6. Step 6: Final answer
    x = 10,755

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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.