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Finding the Fourth Proportional to 3,553.68, 4,899.72 and 2,922

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Solution

The fourth proportional to 3,553.68, 4,899.72 and 2,922 is: 4,028.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,553.68 : 4,899.72 = 2,922 : x
  2. Step 2: Convert to fraction form
    3,553.68/4,899.72 = 2,922/x
  3. Step 3: Cross multiply
    3,553.68x = 4,899.72 × 2,922
  4. Step 4: Simplify right side
    3,553.68x = 14,316,981.84
  5. Step 5: Solve for x
    x = 14,316,981.84/3,553.68
  6. Step 6: Final answer
    x = 4,028.78

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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.