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Finding the Fourth Proportional to 2,212.64, 3,052.32 and 1,687.76

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Solution

The fourth proportional to 2,212.64, 3,052.32 and 1,687.76 is: 2,328.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,212.64 : 3,052.32 = 1,687.76 : x
  2. Step 2: Convert to fraction form
    2,212.64/3,052.32 = 1,687.76/x
  3. Step 3: Cross multiply
    2,212.64x = 3,052.32 × 1,687.76
  4. Step 4: Simplify right side
    2,212.64x = 5,151,583.60
  5. Step 5: Solve for x
    x = 5,151,583.60/2,212.64
  6. Step 6: Final answer
    x = 2,328.25

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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.