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Finding the Fourth Proportional to 1,939.84, 2,909.94 and 553.15

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Solution

The fourth proportional to 1,939.84, 2,909.94 and 553.15 is: 829.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,939.84 : 2,909.94 = 553.15 : x
  2. Step 2: Convert to fraction form
    1,939.84/2,909.94 = 553.15/x
  3. Step 3: Cross multiply
    1,939.84x = 2,909.94 × 553.15
  4. Step 4: Simplify right side
    1,939.84x = 1,609,634.87
  5. Step 5: Solve for x
    x = 1,609,634.87/1,939.84
  6. Step 6: Final answer
    x = 829.78

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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.