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Finding the Fourth Proportional to 3,816.68, 5,721.12 and 1,476.02

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Solution

The fourth proportional to 3,816.68, 5,721.12 and 1,476.02 is: 2,212.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,816.68 : 5,721.12 = 1,476.02 : x
  2. Step 2: Convert to fraction form
    3,816.68/5,721.12 = 1,476.02/x
  3. Step 3: Cross multiply
    3,816.68x = 5,721.12 × 1,476.02
  4. Step 4: Simplify right side
    3,816.68x = 8,444,487.54
  5. Step 5: Solve for x
    x = 8,444,487.54/3,816.68
  6. Step 6: Final answer
    x = 2,212.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.