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Finding the Fourth Proportional to 3,084.92, 4,627.38 and 776.44

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Solution

The fourth proportional to 3,084.92, 4,627.38 and 776.44 is: 1,164.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,084.92 : 4,627.38 = 776.44 : x
  2. Step 2: Convert to fraction form
    3,084.92/4,627.38 = 776.44/x
  3. Step 3: Cross multiply
    3,084.92x = 4,627.38 × 776.44
  4. Step 4: Simplify right side
    3,084.92x = 3,592,882.93
  5. Step 5: Solve for x
    x = 3,592,882.93/3,084.92
  6. Step 6: Final answer
    x = 1,164.66

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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.