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Finding the Fourth Proportional to 1,694.56, 2,338.74 and 1,031.80

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Solution

The fourth proportional to 1,694.56, 2,338.74 and 1,031.80 is: 1,424.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,694.56 : 2,338.74 = 1,031.80 : x
  2. Step 2: Convert to fraction form
    1,694.56/2,338.74 = 1,031.80/x
  3. Step 3: Cross multiply
    1,694.56x = 2,338.74 × 1,031.80
  4. Step 4: Simplify right side
    1,694.56x = 2,413,111.93
  5. Step 5: Solve for x
    x = 2,413,111.93/1,694.56
  6. Step 6: Final answer
    x = 1,424.03

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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.