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Finding the Fourth Proportional to 9,017, 13,525.50 and 3,172.94

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Solution

The fourth proportional to 9,017, 13,525.50 and 3,172.94 is: 4,759.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,017 : 13,525.50 = 3,172.94 : x
  2. Step 2: Convert to fraction form
    9,017/13,525.50 = 3,172.94/x
  3. Step 3: Cross multiply
    9,017x = 13,525.50 × 3,172.94
  4. Step 4: Simplify right side
    9,017x = 42,915,599.97
  5. Step 5: Solve for x
    x = 42,915,599.97/9,017
  6. Step 6: Final answer
    x = 4,759.41

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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.