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Finding the Fourth Proportional to 25,645, 38,467.50 and 7,177

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Solution

The fourth proportional to 25,645, 38,467.50 and 7,177 is: 10,765.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,645 : 38,467.50 = 7,177 : x
  2. Step 2: Convert to fraction form
    25,645/38,467.50 = 7,177/x
  3. Step 3: Cross multiply
    25,645x = 38,467.50 × 7,177
  4. Step 4: Simplify right side
    25,645x = 276,081,247.50
  5. Step 5: Solve for x
    x = 276,081,247.50/25,645
  6. Step 6: Final answer
    x = 10,765.50

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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.