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Finding the Fourth Proportional to 2,187.11, 3,280.62 and 543.64

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Solution

The fourth proportional to 2,187.11, 3,280.62 and 543.64 is: 815.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,187.11 : 3,280.62 = 543.64 : x
  2. Step 2: Convert to fraction form
    2,187.11/3,280.62 = 543.64/x
  3. Step 3: Cross multiply
    2,187.11x = 3,280.62 × 543.64
  4. Step 4: Simplify right side
    2,187.11x = 1,783,476.26
  5. Step 5: Solve for x
    x = 1,783,476.26/2,187.11
  6. Step 6: Final answer
    x = 815.45

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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.