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Finding the Fourth Proportional to 25,675, 38,512.50 and 9,259

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Solution

The fourth proportional to 25,675, 38,512.50 and 9,259 is: 13,888.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,675 : 38,512.50 = 9,259 : x
  2. Step 2: Convert to fraction form
    25,675/38,512.50 = 9,259/x
  3. Step 3: Cross multiply
    25,675x = 38,512.50 × 9,259
  4. Step 4: Simplify right side
    25,675x = 356,587,237.50
  5. Step 5: Solve for x
    x = 356,587,237.50/25,675
  6. Step 6: Final answer
    x = 13,888.50

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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.