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Finding the Fourth Proportional to 1,724.76, 2,380.16 and 938.84

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Solution

The fourth proportional to 1,724.76, 2,380.16 and 938.84 is: 1,295.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,724.76 : 2,380.16 = 938.84 : x
  2. Step 2: Convert to fraction form
    1,724.76/2,380.16 = 938.84/x
  3. Step 3: Cross multiply
    1,724.76x = 2,380.16 × 938.84
  4. Step 4: Simplify right side
    1,724.76x = 2,234,579.86
  5. Step 5: Solve for x
    x = 2,234,579.86/1,724.76
  6. Step 6: Final answer
    x = 1,295.59

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Half scale
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Double scale
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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.