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Finding the Fourth Proportional to 2,216, 3,050.88 and 2,112

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Solution

The fourth proportional to 2,216, 3,050.88 and 2,112 is: 2,907.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,216 : 3,050.88 = 2,112 : x
  2. Step 2: Convert to fraction form
    2,216/3,050.88 = 2,112/x
  3. Step 3: Cross multiply
    2,216x = 3,050.88 × 2,112
  4. Step 4: Simplify right side
    2,216x = 6,443,458.56
  5. Step 5: Solve for x
    x = 6,443,458.56/2,216
  6. Step 6: Final answer
    x = 2,907.70

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.