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Finding the Fourth Proportional to 2,812.62, 3,881.41 and 1,536.51

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Solution

The fourth proportional to 2,812.62, 3,881.41 and 1,536.51 is: 2,120.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,812.62 : 3,881.41 = 1,536.51 : x
  2. Step 2: Convert to fraction form
    2,812.62/3,881.41 = 1,536.51/x
  3. Step 3: Cross multiply
    2,812.62x = 3,881.41 × 1,536.51
  4. Step 4: Simplify right side
    2,812.62x = 5,963,845.72
  5. Step 5: Solve for x
    x = 5,963,845.72/2,812.62
  6. Step 6: Final answer
    x = 2,120.39

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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.