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Finding the Fourth Proportional to 3,426.72, 4,728 and 2,184

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Solution

The fourth proportional to 3,426.72, 4,728 and 2,184 is: 3,013.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,426.72 : 4,728 = 2,184 : x
  2. Step 2: Convert to fraction form
    3,426.72/4,728 = 2,184/x
  3. Step 3: Cross multiply
    3,426.72x = 4,728 × 2,184
  4. Step 4: Simplify right side
    3,426.72x = 10,325,952
  5. Step 5: Solve for x
    x = 10,325,952/3,426.72
  6. Step 6: Final answer
    x = 3,013.36

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.