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Finding the Fourth Proportional to 2,036.11, 3,054.34 and 649.64

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Solution

The fourth proportional to 2,036.11, 3,054.34 and 649.64 is: 974.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,036.11 : 3,054.34 = 649.64 : x
  2. Step 2: Convert to fraction form
    2,036.11/3,054.34 = 649.64/x
  3. Step 3: Cross multiply
    2,036.11x = 3,054.34 × 649.64
  4. Step 4: Simplify right side
    2,036.11x = 1,984,226.23
  5. Step 5: Solve for x
    x = 1,984,226.23/2,036.11
  6. Step 6: Final answer
    x = 974.52

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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.