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Finding the Fourth Proportional to 2,996.80, 4,135.20 and 2,211.20

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Solution

The fourth proportional to 2,996.80, 4,135.20 and 2,211.20 is: 3,051.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,996.80 : 4,135.20 = 2,211.20 : x
  2. Step 2: Convert to fraction form
    2,996.80/4,135.20 = 2,211.20/x
  3. Step 3: Cross multiply
    2,996.80x = 4,135.20 × 2,211.20
  4. Step 4: Simplify right side
    2,996.80x = 9,143,754.24
  5. Step 5: Solve for x
    x = 9,143,754.24/2,996.80
  6. Step 6: Final answer
    x = 3,051.17

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.