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Finding the Fourth Proportional to 2,168.96, 2,996.24 and 2,089.12

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Solution

The fourth proportional to 2,168.96, 2,996.24 and 2,089.12 is: 2,885.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,168.96 : 2,996.24 = 2,089.12 : x
  2. Step 2: Convert to fraction form
    2,168.96/2,996.24 = 2,089.12/x
  3. Step 3: Cross multiply
    2,168.96x = 2,996.24 × 2,089.12
  4. Step 4: Simplify right side
    2,168.96x = 6,259,504.91
  5. Step 5: Solve for x
    x = 6,259,504.91/2,168.96
  6. Step 6: Final answer
    x = 2,885.95

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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.