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Finding the Fourth Proportional to 2,815.50, 4,223.81 and 867.62

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Solution

The fourth proportional to 2,815.50, 4,223.81 and 867.62 is: 1,301.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,815.50 : 4,223.81 = 867.62 : x
  2. Step 2: Convert to fraction form
    2,815.50/4,223.81 = 867.62/x
  3. Step 3: Cross multiply
    2,815.50x = 4,223.81 × 867.62
  4. Step 4: Simplify right side
    2,815.50x = 3,664,662.03
  5. Step 5: Solve for x
    x = 3,664,662.03/2,815.50
  6. Step 6: Final answer
    x = 1,301.60

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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.