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Finding the Fourth Proportional to 3,084.80, 4,626.16 and 892.80

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Solution

The fourth proportional to 3,084.80, 4,626.16 and 892.80 is: 1,338.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,084.80 : 4,626.16 = 892.80 : x
  2. Step 2: Convert to fraction form
    3,084.80/4,626.16 = 892.80/x
  3. Step 3: Cross multiply
    3,084.80x = 4,626.16 × 892.80
  4. Step 4: Simplify right side
    3,084.80x = 4,130,235.65
  5. Step 5: Solve for x
    x = 4,130,235.65/3,084.80
  6. Step 6: Final answer
    x = 1,338.90

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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.