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Finding the Fourth Proportional to 2,835.98, 4,254.15 and 755.95

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Solution

The fourth proportional to 2,835.98, 4,254.15 and 755.95 is: 1,133.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,835.98 : 4,254.15 = 755.95 : x
  2. Step 2: Convert to fraction form
    2,835.98/4,254.15 = 755.95/x
  3. Step 3: Cross multiply
    2,835.98x = 4,254.15 × 755.95
  4. Step 4: Simplify right side
    2,835.98x = 3,215,924.69
  5. Step 5: Solve for x
    x = 3,215,924.69/2,835.98
  6. Step 6: Final answer
    x = 1,133.97

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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.