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Finding the Fourth Proportional to 2,663.70, 3,994.01 and 1,019.22

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Solution

The fourth proportional to 2,663.70, 3,994.01 and 1,019.22 is: 1,528.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,663.70 : 3,994.01 = 1,019.22 : x
  2. Step 2: Convert to fraction form
    2,663.70/3,994.01 = 1,019.22/x
  3. Step 3: Cross multiply
    2,663.70x = 3,994.01 × 1,019.22
  4. Step 4: Simplify right side
    2,663.70x = 4,070,774.87
  5. Step 5: Solve for x
    x = 4,070,774.87/2,663.70
  6. Step 6: Final answer
    x = 1,528.24

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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.