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Finding the Fourth Proportional to 2,163.88, 3,245.58 and 703.03

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Solution

The fourth proportional to 2,163.88, 3,245.58 and 703.03 is: 1,054.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,163.88 : 3,245.58 = 703.03 : x
  2. Step 2: Convert to fraction form
    2,163.88/3,245.58 = 703.03/x
  3. Step 3: Cross multiply
    2,163.88x = 3,245.58 × 703.03
  4. Step 4: Simplify right side
    2,163.88x = 2,281,740.11
  5. Step 5: Solve for x
    x = 2,281,740.11/2,163.88
  6. Step 6: Final answer
    x = 1,054.47

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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.