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Finding the Fourth Proportional to 4,552.84, 6,832.50 and 3,513.88

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Solution

The fourth proportional to 4,552.84, 6,832.50 and 3,513.88 is: 5,273.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,552.84 : 6,832.50 = 3,513.88 : x
  2. Step 2: Convert to fraction form
    4,552.84/6,832.50 = 3,513.88/x
  3. Step 3: Cross multiply
    4,552.84x = 6,832.50 × 3,513.88
  4. Step 4: Simplify right side
    4,552.84x = 24,008,585.10
  5. Step 5: Solve for x
    x = 24,008,585.10/4,552.84
  6. Step 6: Final answer
    x = 5,273.32

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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.