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Finding the Fourth Proportional to 1,939.70, 2,909.12 and 553.01

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Solution

The fourth proportional to 1,939.70, 2,909.12 and 553.01 is: 829.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,939.70 : 2,909.12 = 553.01 : x
  2. Step 2: Convert to fraction form
    1,939.70/2,909.12 = 553.01/x
  3. Step 3: Cross multiply
    1,939.70x = 2,909.12 × 553.01
  4. Step 4: Simplify right side
    1,939.70x = 1,608,769.69
  5. Step 5: Solve for x
    x = 1,608,769.69/1,939.70
  6. Step 6: Final answer
    x = 829.39

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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.