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Finding the Fourth Proportional to 2,187.52, 3,284.52 and 2,148.64

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Solution

The fourth proportional to 2,187.52, 3,284.52 and 2,148.64 is: 3,226.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,187.52 : 3,284.52 = 2,148.64 : x
  2. Step 2: Convert to fraction form
    2,187.52/3,284.52 = 2,148.64/x
  3. Step 3: Cross multiply
    2,187.52x = 3,284.52 × 2,148.64
  4. Step 4: Simplify right side
    2,187.52x = 7,057,251.05
  5. Step 5: Solve for x
    x = 7,057,251.05/2,187.52
  6. Step 6: Final answer
    x = 3,226.14

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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.