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Finding the Fourth Proportional to 2,381.05, 3,571.37 and 821.05

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Solution

The fourth proportional to 2,381.05, 3,571.37 and 821.05 is: 1,231.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,381.05 : 3,571.37 = 821.05 : x
  2. Step 2: Convert to fraction form
    2,381.05/3,571.37 = 821.05/x
  3. Step 3: Cross multiply
    2,381.05x = 3,571.37 × 821.05
  4. Step 4: Simplify right side
    2,381.05x = 2,932,273.34
  5. Step 5: Solve for x
    x = 2,932,273.34/2,381.05
  6. Step 6: Final answer
    x = 1,231.50

Related Problems

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Half scale
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Double scale
Find fourth proportional to 2,382.05, 3,572.87 and 822.05
Similar ratio
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1.5x scale

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.