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Finding the Fourth Proportional to 2,815.25, 4,223.07 and 867.20

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Solution

The fourth proportional to 2,815.25, 4,223.07 and 867.20 is: 1,300.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,815.25 : 4,223.07 = 867.20 : x
  2. Step 2: Convert to fraction form
    2,815.25/4,223.07 = 867.20/x
  3. Step 3: Cross multiply
    2,815.25x = 4,223.07 × 867.20
  4. Step 4: Simplify right side
    2,815.25x = 3,662,225.19
  5. Step 5: Solve for x
    x = 3,662,225.19/2,815.25
  6. Step 6: Final answer
    x = 1,300.85

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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.