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Finding the Fourth Proportional to 3,244, 4,476 and 1,917.76

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Solution

The fourth proportional to 3,244, 4,476 and 1,917.76 is: 2,646.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,244 : 4,476 = 1,917.76 : x
  2. Step 2: Convert to fraction form
    3,244/4,476 = 1,917.76/x
  3. Step 3: Cross multiply
    3,244x = 4,476 × 1,917.76
  4. Step 4: Simplify right side
    3,244x = 8,583,893.76
  5. Step 5: Solve for x
    x = 8,583,893.76/3,244
  6. Step 6: Final answer
    x = 2,646.08

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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.