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Finding the Fourth Proportional to 2,006.80, 3,008.08 and 690.14

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Solution

The fourth proportional to 2,006.80, 3,008.08 and 690.14 is: 1,034.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,006.80 : 3,008.08 = 690.14 : x
  2. Step 2: Convert to fraction form
    2,006.80/3,008.08 = 690.14/x
  3. Step 3: Cross multiply
    2,006.80x = 3,008.08 × 690.14
  4. Step 4: Simplify right side
    2,006.80x = 2,075,996.33
  5. Step 5: Solve for x
    x = 2,075,996.33/2,006.80
  6. Step 6: Final answer
    x = 1,034.48

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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.