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Finding the Fourth Proportional to 2,000.08, 3,000.12 and 845.84

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Solution

The fourth proportional to 2,000.08, 3,000.12 and 845.84 is: 1,268.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,000.08 : 3,000.12 = 845.84 : x
  2. Step 2: Convert to fraction form
    2,000.08/3,000.12 = 845.84/x
  3. Step 3: Cross multiply
    2,000.08x = 3,000.12 × 845.84
  4. Step 4: Simplify right side
    2,000.08x = 2,537,621.50
  5. Step 5: Solve for x
    x = 2,537,621.50/2,000.08
  6. Step 6: Final answer
    x = 1,268.76

Related Problems

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Half scale
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Double scale
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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.