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Finding the Fourth Proportional to 2,036.50, 3,054.75 and 820.50

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Solution

The fourth proportional to 2,036.50, 3,054.75 and 820.50 is: 1,230.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,036.50 : 3,054.75 = 820.50 : x
  2. Step 2: Convert to fraction form
    2,036.50/3,054.75 = 820.50/x
  3. Step 3: Cross multiply
    2,036.50x = 3,054.75 × 820.50
  4. Step 4: Simplify right side
    2,036.50x = 2,506,422.38
  5. Step 5: Solve for x
    x = 2,506,422.38/2,036.50
  6. Step 6: Final answer
    x = 1,230.75

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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.