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Finding the Fourth Proportional to 2,584, 3,876.36 and 1,197.28

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Solution

The fourth proportional to 2,584, 3,876.36 and 1,197.28 is: 1,796.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,584 : 3,876.36 = 1,197.28 : x
  2. Step 2: Convert to fraction form
    2,584/3,876.36 = 1,197.28/x
  3. Step 3: Cross multiply
    2,584x = 3,876.36 × 1,197.28
  4. Step 4: Simplify right side
    2,584x = 4,641,088.30
  5. Step 5: Solve for x
    x = 4,641,088.30/2,584
  6. Step 6: Final answer
    x = 1,796.09

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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.