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Finding the Fourth Proportional to 6,428.82, 8,875.65 and 4,194.57

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Solution

The fourth proportional to 6,428.82, 8,875.65 and 4,194.57 is: 5,791.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,428.82 : 8,875.65 = 4,194.57 : x
  2. Step 2: Convert to fraction form
    6,428.82/8,875.65 = 4,194.57/x
  3. Step 3: Cross multiply
    6,428.82x = 8,875.65 × 4,194.57
  4. Step 4: Simplify right side
    6,428.82x = 37,229,514.25
  5. Step 5: Solve for x
    x = 37,229,514.25/6,428.82
  6. Step 6: Final answer
    x = 5,791.03

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.