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Finding the Fourth Proportional to 1,724.99, 2,380.49 and 939.03

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Solution

The fourth proportional to 1,724.99, 2,380.49 and 939.03 is: 1,295.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,724.99 : 2,380.49 = 939.03 : x
  2. Step 2: Convert to fraction form
    1,724.99/2,380.49 = 939.03/x
  3. Step 3: Cross multiply
    1,724.99x = 2,380.49 × 939.03
  4. Step 4: Simplify right side
    1,724.99x = 2,235,346.83
  5. Step 5: Solve for x
    x = 2,235,346.83/1,724.99
  6. Step 6: Final answer
    x = 1,295.86

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1.5x scale

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.