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Finding the Fourth Proportional to 3,066.54, 4,231.18 and 2,005.86

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Solution

The fourth proportional to 3,066.54, 4,231.18 and 2,005.86 is: 2,767.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,066.54 : 4,231.18 = 2,005.86 : x
  2. Step 2: Convert to fraction form
    3,066.54/4,231.18 = 2,005.86/x
  3. Step 3: Cross multiply
    3,066.54x = 4,231.18 × 2,005.86
  4. Step 4: Simplify right side
    3,066.54x = 8,487,154.71
  5. Step 5: Solve for x
    x = 8,487,154.71/3,066.54
  6. Step 6: Final answer
    x = 2,767.66

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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.