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Finding the Fourth Proportional to 5,727.62, 7,904.12 and 3,243.62

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Solution

The fourth proportional to 5,727.62, 7,904.12 and 3,243.62 is: 4,476.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,727.62 : 7,904.12 = 3,243.62 : x
  2. Step 2: Convert to fraction form
    5,727.62/7,904.12 = 3,243.62/x
  3. Step 3: Cross multiply
    5,727.62x = 7,904.12 × 3,243.62
  4. Step 4: Simplify right side
    5,727.62x = 25,637,961.71
  5. Step 5: Solve for x
    x = 25,637,961.71/5,727.62
  6. Step 6: Final answer
    x = 4,476.20

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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.