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Finding the Fourth Proportional to 2,813.28, 4,219.94 and 865.50

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Solution

The fourth proportional to 2,813.28, 4,219.94 and 865.50 is: 1,298.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,813.28 : 4,219.94 = 865.50 : x
  2. Step 2: Convert to fraction form
    2,813.28/4,219.94 = 865.50/x
  3. Step 3: Cross multiply
    2,813.28x = 4,219.94 × 865.50
  4. Step 4: Simplify right side
    2,813.28x = 3,652,358.07
  5. Step 5: Solve for x
    x = 3,652,358.07/2,813.28
  6. Step 6: Final answer
    x = 1,298.26

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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.