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Finding the Fourth Proportional to 3,577.84, 5,367 and 1,112.68

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Solution

The fourth proportional to 3,577.84, 5,367 and 1,112.68 is: 1,669.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,577.84 : 5,367 = 1,112.68 : x
  2. Step 2: Convert to fraction form
    3,577.84/5,367 = 1,112.68/x
  3. Step 3: Cross multiply
    3,577.84x = 5,367 × 1,112.68
  4. Step 4: Simplify right side
    3,577.84x = 5,971,753.56
  5. Step 5: Solve for x
    x = 5,971,753.56/3,577.84
  6. Step 6: Final answer
    x = 1,669.09

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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.