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Finding the Fourth Proportional to 6,265.69, 8,646.68 and 3,471.19

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Solution

The fourth proportional to 6,265.69, 8,646.68 and 3,471.19 is: 4,790.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,265.69 : 8,646.68 = 3,471.19 : x
  2. Step 2: Convert to fraction form
    6,265.69/8,646.68 = 3,471.19/x
  3. Step 3: Cross multiply
    6,265.69x = 8,646.68 × 3,471.19
  4. Step 4: Simplify right side
    6,265.69x = 30,014,256.21
  5. Step 5: Solve for x
    x = 30,014,256.21/6,265.69
  6. Step 6: Final answer
    x = 4,790.26

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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.