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Finding the Fourth Proportional to 7,130.68, 10,692.10 and 2,198.95

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Solution

The fourth proportional to 7,130.68, 10,692.10 and 2,198.95 is: 3,297.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,130.68 : 10,692.10 = 2,198.95 : x
  2. Step 2: Convert to fraction form
    7,130.68/10,692.10 = 2,198.95/x
  3. Step 3: Cross multiply
    7,130.68x = 10,692.10 × 2,198.95
  4. Step 4: Simplify right side
    7,130.68x = 23,511,393.30
  5. Step 5: Solve for x
    x = 23,511,393.30/7,130.68
  6. Step 6: Final answer
    x = 3,297.22

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1.5x scale

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.