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Finding the Fourth Proportional to 2,216, 3,052.80 and 2,112.32

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Solution

The fourth proportional to 2,216, 3,052.80 and 2,112.32 is: 2,909.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,216 : 3,052.80 = 2,112.32 : x
  2. Step 2: Convert to fraction form
    2,216/3,052.80 = 2,112.32/x
  3. Step 3: Cross multiply
    2,216x = 3,052.80 × 2,112.32
  4. Step 4: Simplify right side
    2,216x = 6,448,490.50
  5. Step 5: Solve for x
    x = 6,448,490.50/2,216
  6. Step 6: Final answer
    x = 2,909.97

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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.