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Finding the Fourth Proportional to 2,068.49, 3,102.92 and 663.11

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Solution

The fourth proportional to 2,068.49, 3,102.92 and 663.11 is: 994.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,068.49 : 3,102.92 = 663.11 : x
  2. Step 2: Convert to fraction form
    2,068.49/3,102.92 = 663.11/x
  3. Step 3: Cross multiply
    2,068.49x = 3,102.92 × 663.11
  4. Step 4: Simplify right side
    2,068.49x = 2,057,558.45
  5. Step 5: Solve for x
    x = 2,057,558.45/2,068.49
  6. Step 6: Final answer
    x = 994.72

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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.