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Finding the Fourth Proportional to 8,379.82, 11,565.84 and 4,842.55

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Solution

The fourth proportional to 8,379.82, 11,565.84 and 4,842.55 is: 6,683.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,379.82 : 11,565.84 = 4,842.55 : x
  2. Step 2: Convert to fraction form
    8,379.82/11,565.84 = 4,842.55/x
  3. Step 3: Cross multiply
    8,379.82x = 11,565.84 × 4,842.55
  4. Step 4: Simplify right side
    8,379.82x = 56,008,158.49
  5. Step 5: Solve for x
    x = 56,008,158.49/8,379.82
  6. Step 6: Final answer
    x = 6,683.69

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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.