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Finding the Fourth Proportional to 1,791.68, 2,674.40 and 1,584.32

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Solution

The fourth proportional to 1,791.68, 2,674.40 and 1,584.32 is: 2,364.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,791.68 : 2,674.40 = 1,584.32 : x
  2. Step 2: Convert to fraction form
    1,791.68/2,674.40 = 1,584.32/x
  3. Step 3: Cross multiply
    1,791.68x = 2,674.40 × 1,584.32
  4. Step 4: Simplify right side
    1,791.68x = 4,237,105.41
  5. Step 5: Solve for x
    x = 4,237,105.41/1,791.68
  6. Step 6: Final answer
    x = 2,364.88

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.