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Finding the Fourth Proportional to 2,036.72, 3,055.30 and 649.73

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Solution

The fourth proportional to 2,036.72, 3,055.30 and 649.73 is: 974.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,036.72 : 3,055.30 = 649.73 : x
  2. Step 2: Convert to fraction form
    2,036.72/3,055.30 = 649.73/x
  3. Step 3: Cross multiply
    2,036.72x = 3,055.30 × 649.73
  4. Step 4: Simplify right side
    2,036.72x = 1,985,120.07
  5. Step 5: Solve for x
    x = 1,985,120.07/2,036.72
  6. Step 6: Final answer
    x = 974.67

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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.