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Finding the Fourth Proportional to 2,101.96, 3,152.94 and 733

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Solution

The fourth proportional to 2,101.96, 3,152.94 and 733 is: 1,099.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,101.96 : 3,152.94 = 733 : x
  2. Step 2: Convert to fraction form
    2,101.96/3,152.94 = 733/x
  3. Step 3: Cross multiply
    2,101.96x = 3,152.94 × 733
  4. Step 4: Simplify right side
    2,101.96x = 2,311,105.02
  5. Step 5: Solve for x
    x = 2,311,105.02/2,101.96
  6. Step 6: Final answer
    x = 1,099.50

Related Problems

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Half scale
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Double scale
Find fourth proportional to 2,102.96, 3,154.44 and 734
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.