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Finding the Fourth Proportional to 1,724.72, 2,380.16 and 938.80

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Solution

The fourth proportional to 1,724.72, 2,380.16 and 938.80 is: 1,295.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,724.72 : 2,380.16 = 938.80 : x
  2. Step 2: Convert to fraction form
    1,724.72/2,380.16 = 938.80/x
  3. Step 3: Cross multiply
    1,724.72x = 2,380.16 × 938.80
  4. Step 4: Simplify right side
    1,724.72x = 2,234,494.21
  5. Step 5: Solve for x
    x = 2,234,494.21/1,724.72
  6. Step 6: Final answer
    x = 1,295.57

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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.