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Finding the Fourth Proportional to 3,584.64, 4,947.84 and 2,189.92

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Solution

The fourth proportional to 3,584.64, 4,947.84 and 2,189.92 is: 3,022.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,584.64 : 4,947.84 = 2,189.92 : x
  2. Step 2: Convert to fraction form
    3,584.64/4,947.84 = 2,189.92/x
  3. Step 3: Cross multiply
    3,584.64x = 4,947.84 × 2,189.92
  4. Step 4: Simplify right side
    3,584.64x = 10,835,373.77
  5. Step 5: Solve for x
    x = 10,835,373.77/3,584.64
  6. Step 6: Final answer
    x = 3,022.72

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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.