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Finding the Fourth Proportional to 2,165.09, 3,247.98 and 703.90

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Solution

The fourth proportional to 2,165.09, 3,247.98 and 703.90 is: 1,055.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,165.09 : 3,247.98 = 703.90 : x
  2. Step 2: Convert to fraction form
    2,165.09/3,247.98 = 703.90/x
  3. Step 3: Cross multiply
    2,165.09x = 3,247.98 × 703.90
  4. Step 4: Simplify right side
    2,165.09x = 2,286,254.54
  5. Step 5: Solve for x
    x = 2,286,254.54/2,165.09
  6. Step 6: Final answer
    x = 1,055.96

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.