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Finding the Fourth Proportional to 2,142.63, 3,214.19 and 755.67

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Solution

The fourth proportional to 2,142.63, 3,214.19 and 755.67 is: 1,133.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,142.63 : 3,214.19 = 755.67 : x
  2. Step 2: Convert to fraction form
    2,142.63/3,214.19 = 755.67/x
  3. Step 3: Cross multiply
    2,142.63x = 3,214.19 × 755.67
  4. Step 4: Simplify right side
    2,142.63x = 2,428,866.96
  5. Step 5: Solve for x
    x = 2,428,866.96/2,142.63
  6. Step 6: Final answer
    x = 1,133.59

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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.