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Finding the Fourth Proportional to 6,115.86, 8,439.92 and 3,463.51

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Solution

The fourth proportional to 6,115.86, 8,439.92 and 3,463.51 is: 4,779.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,115.86 : 8,439.92 = 3,463.51 : x
  2. Step 2: Convert to fraction form
    6,115.86/8,439.92 = 3,463.51/x
  3. Step 3: Cross multiply
    6,115.86x = 8,439.92 × 3,463.51
  4. Step 4: Simplify right side
    6,115.86x = 29,231,730.00
  5. Step 5: Solve for x
    x = 29,231,730.00/6,115.86
  6. Step 6: Final answer
    x = 4,779.66

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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.