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Finding the Fourth Proportional to 2,815.38, 4,223.07 and 867.59

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Solution

The fourth proportional to 2,815.38, 4,223.07 and 867.59 is: 1,301.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,815.38 : 4,223.07 = 867.59 : x
  2. Step 2: Convert to fraction form
    2,815.38/4,223.07 = 867.59/x
  3. Step 3: Cross multiply
    2,815.38x = 4,223.07 × 867.59
  4. Step 4: Simplify right side
    2,815.38x = 3,663,879.81
  5. Step 5: Solve for x
    x = 3,663,879.81/2,815.38
  6. Step 6: Final answer
    x = 1,301.38

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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.