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Finding the Fourth Proportional to 3,094.10, 4,640.78 and 873.10

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Solution

The fourth proportional to 3,094.10, 4,640.78 and 873.10 is: 1,309.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,094.10 : 4,640.78 = 873.10 : x
  2. Step 2: Convert to fraction form
    3,094.10/4,640.78 = 873.10/x
  3. Step 3: Cross multiply
    3,094.10x = 4,640.78 × 873.10
  4. Step 4: Simplify right side
    3,094.10x = 4,051,865.02
  5. Step 5: Solve for x
    x = 4,051,865.02/3,094.10
  6. Step 6: Final answer
    x = 1,309.55

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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.