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Finding the Fourth Proportional to 2,031.54, 3,047.58 and 936.96

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Solution

The fourth proportional to 2,031.54, 3,047.58 and 936.96 is: 1,405.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,031.54 : 3,047.58 = 936.96 : x
  2. Step 2: Convert to fraction form
    2,031.54/3,047.58 = 936.96/x
  3. Step 3: Cross multiply
    2,031.54x = 3,047.58 × 936.96
  4. Step 4: Simplify right side
    2,031.54x = 2,855,460.56
  5. Step 5: Solve for x
    x = 2,855,460.56/2,031.54
  6. Step 6: Final answer
    x = 1,405.56

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.