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Finding the Fourth Proportional to 2,302.12, 3,451.80 and 914.32

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Solution

The fourth proportional to 2,302.12, 3,451.80 and 914.32 is: 1,370.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,302.12 : 3,451.80 = 914.32 : x
  2. Step 2: Convert to fraction form
    2,302.12/3,451.80 = 914.32/x
  3. Step 3: Cross multiply
    2,302.12x = 3,451.80 × 914.32
  4. Step 4: Simplify right side
    2,302.12x = 3,156,049.78
  5. Step 5: Solve for x
    x = 3,156,049.78/2,302.12
  6. Step 6: Final answer
    x = 1,370.93

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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.