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Finding the Fourth Proportional to 2,863.49, 4,295.28 and 811.49

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Solution

The fourth proportional to 2,863.49, 4,295.28 and 811.49 is: 1,217.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,863.49 : 4,295.28 = 811.49 : x
  2. Step 2: Convert to fraction form
    2,863.49/4,295.28 = 811.49/x
  3. Step 3: Cross multiply
    2,863.49x = 4,295.28 × 811.49
  4. Step 4: Simplify right side
    2,863.49x = 3,485,572.71
  5. Step 5: Solve for x
    x = 3,485,572.71/2,863.49
  6. Step 6: Final answer
    x = 1,217.25

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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.