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Finding the Fourth Proportional to 2,036, 2,809.68 and 1,104.50

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Solution

The fourth proportional to 2,036, 2,809.68 and 1,104.50 is: 1,524.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,036 : 2,809.68 = 1,104.50 : x
  2. Step 2: Convert to fraction form
    2,036/2,809.68 = 1,104.50/x
  3. Step 3: Cross multiply
    2,036x = 2,809.68 × 1,104.50
  4. Step 4: Simplify right side
    2,036x = 3,103,291.56
  5. Step 5: Solve for x
    x = 3,103,291.56/2,036
  6. Step 6: Final answer
    x = 1,524.21

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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.