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Finding the Fourth Proportional to 7,075, 10,612.50 and 2,211

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Solution

The fourth proportional to 7,075, 10,612.50 and 2,211 is: 3,316.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,075 : 10,612.50 = 2,211 : x
  2. Step 2: Convert to fraction form
    7,075/10,612.50 = 2,211/x
  3. Step 3: Cross multiply
    7,075x = 10,612.50 × 2,211
  4. Step 4: Simplify right side
    7,075x = 23,464,237.50
  5. Step 5: Solve for x
    x = 23,464,237.50/7,075
  6. Step 6: Final answer
    x = 3,316.50

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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.