Home / 1,293.10-1,939.87-513.11

Finding the Fourth Proportional to 1,293.10, 1,939.87 and 513.11

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Solution

The fourth proportional to 1,293.10, 1,939.87 and 513.11 is: 769.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,293.10 : 1,939.87 = 513.11 : x
  2. Step 2: Convert to fraction form
    1,293.10/1,939.87 = 513.11/x
  3. Step 3: Cross multiply
    1,293.10x = 1,939.87 × 513.11
  4. Step 4: Simplify right side
    1,293.10x = 995,365.29
  5. Step 5: Solve for x
    x = 995,365.29/1,293.10
  6. Step 6: Final answer
    x = 769.75

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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.