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Finding the Fourth Proportional to 1,812.72, 2,729.82 and 1,584.36

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Solution

The fourth proportional to 1,812.72, 2,729.82 and 1,584.36 is: 2,385.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,812.72 : 2,729.82 = 1,584.36 : x
  2. Step 2: Convert to fraction form
    1,812.72/2,729.82 = 1,584.36/x
  3. Step 3: Cross multiply
    1,812.72x = 2,729.82 × 1,584.36
  4. Step 4: Simplify right side
    1,812.72x = 4,325,017.62
  5. Step 5: Solve for x
    x = 4,325,017.62/1,812.72
  6. Step 6: Final answer
    x = 2,385.93

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.