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Finding the Fourth Proportional to 2,000.56, 3,000.84 and 845.50

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Solution

The fourth proportional to 2,000.56, 3,000.84 and 845.50 is: 1,268.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,000.56 : 3,000.84 = 845.50 : x
  2. Step 2: Convert to fraction form
    2,000.56/3,000.84 = 845.50/x
  3. Step 3: Cross multiply
    2,000.56x = 3,000.84 × 845.50
  4. Step 4: Simplify right side
    2,000.56x = 2,537,210.22
  5. Step 5: Solve for x
    x = 2,537,210.22/2,000.56
  6. Step 6: Final answer
    x = 1,268.25

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Double scale
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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.