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Finding the Fourth Proportional to 2,036.92, 3,054.14 and 649.66

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Solution

The fourth proportional to 2,036.92, 3,054.14 and 649.66 is: 974.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,036.92 : 3,054.14 = 649.66 : x
  2. Step 2: Convert to fraction form
    2,036.92/3,054.14 = 649.66/x
  3. Step 3: Cross multiply
    2,036.92x = 3,054.14 × 649.66
  4. Step 4: Simplify right side
    2,036.92x = 1,984,152.59
  5. Step 5: Solve for x
    x = 1,984,152.59/2,036.92
  6. Step 6: Final answer
    x = 974.09

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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.