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Finding the Fourth Proportional to 2,835.53, 4,252.97 and 755.49

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Solution

The fourth proportional to 2,835.53, 4,252.97 and 755.49 is: 1,133.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,835.53 : 4,252.97 = 755.49 : x
  2. Step 2: Convert to fraction form
    2,835.53/4,252.97 = 755.49/x
  3. Step 3: Cross multiply
    2,835.53x = 4,252.97 × 755.49
  4. Step 4: Simplify right side
    2,835.53x = 3,213,058.26
  5. Step 5: Solve for x
    x = 3,213,058.26/2,835.53
  6. Step 6: Final answer
    x = 1,133.14

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1.5x scale

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.