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Finding the Fourth Proportional to 2,486.96, 3,730.53 and 755.54

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Solution

The fourth proportional to 2,486.96, 3,730.53 and 755.54 is: 1,133.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,486.96 : 3,730.53 = 755.54 : x
  2. Step 2: Convert to fraction form
    2,486.96/3,730.53 = 755.54/x
  3. Step 3: Cross multiply
    2,486.96x = 3,730.53 × 755.54
  4. Step 4: Simplify right side
    2,486.96x = 2,818,564.64
  5. Step 5: Solve for x
    x = 2,818,564.64/2,486.96
  6. Step 6: Final answer
    x = 1,133.34

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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.