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Finding the Fourth Proportional to 2,036.31, 3,054.81 and 649.53

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Solution

The fourth proportional to 2,036.31, 3,054.81 and 649.53 is: 974.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,036.31 : 3,054.81 = 649.53 : x
  2. Step 2: Convert to fraction form
    2,036.31/3,054.81 = 649.53/x
  3. Step 3: Cross multiply
    2,036.31x = 3,054.81 × 649.53
  4. Step 4: Simplify right side
    2,036.31x = 1,984,190.74
  5. Step 5: Solve for x
    x = 1,984,190.74/2,036.31
  6. Step 6: Final answer
    x = 974.41

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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.