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Finding the Fourth Proportional to 25,667, 38,515.86 and 11,075

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Solution

The fourth proportional to 25,667, 38,515.86 and 11,075 is: 16,619.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,667 : 38,515.86 = 11,075 : x
  2. Step 2: Convert to fraction form
    25,667/38,515.86 = 11,075/x
  3. Step 3: Cross multiply
    25,667x = 38,515.86 × 11,075
  4. Step 4: Simplify right side
    25,667x = 426,563,149.50
  5. Step 5: Solve for x
    x = 426,563,149.50/25,667
  6. Step 6: Final answer
    x = 16,619.13

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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.