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Finding the Fourth Proportional to 2,618.70, 3,927.78 and 887.28

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Solution

The fourth proportional to 2,618.70, 3,927.78 and 887.28 is: 1,330.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,618.70 : 3,927.78 = 887.28 : x
  2. Step 2: Convert to fraction form
    2,618.70/3,927.78 = 887.28/x
  3. Step 3: Cross multiply
    2,618.70x = 3,927.78 × 887.28
  4. Step 4: Simplify right side
    2,618.70x = 3,485,040.64
  5. Step 5: Solve for x
    x = 3,485,040.64/2,618.70
  6. Step 6: Final answer
    x = 1,330.83

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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.