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Finding the Fourth Proportional to 1,519.31, 2,097.09 and 995.38

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Solution

The fourth proportional to 1,519.31, 2,097.09 and 995.38 is: 1,373.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,519.31 : 2,097.09 = 995.38 : x
  2. Step 2: Convert to fraction form
    1,519.31/2,097.09 = 995.38/x
  3. Step 3: Cross multiply
    1,519.31x = 2,097.09 × 995.38
  4. Step 4: Simplify right side
    1,519.31x = 2,087,396.20
  5. Step 5: Solve for x
    x = 2,087,396.20/1,519.31
  6. Step 6: Final answer
    x = 1,373.91

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.