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Finding the Fourth Proportional to 5,972.82, 8,959.26 and 1,812.87

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Solution

The fourth proportional to 5,972.82, 8,959.26 and 1,812.87 is: 2,719.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,972.82 : 8,959.26 = 1,812.87 : x
  2. Step 2: Convert to fraction form
    5,972.82/8,959.26 = 1,812.87/x
  3. Step 3: Cross multiply
    5,972.82x = 8,959.26 × 1,812.87
  4. Step 4: Simplify right side
    5,972.82x = 16,241,973.68
  5. Step 5: Solve for x
    x = 16,241,973.68/5,972.82
  6. Step 6: Final answer
    x = 2,719.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.