Home / 1,694.52-2,338.64-1,031.40

Finding the Fourth Proportional to 1,694.52, 2,338.64 and 1,031.40

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Solution

The fourth proportional to 1,694.52, 2,338.64 and 1,031.40 is: 1,423.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,694.52 : 2,338.64 = 1,031.40 : x
  2. Step 2: Convert to fraction form
    1,694.52/2,338.64 = 1,031.40/x
  3. Step 3: Cross multiply
    1,694.52x = 2,338.64 × 1,031.40
  4. Step 4: Simplify right side
    1,694.52x = 2,412,073.30
  5. Step 5: Solve for x
    x = 2,412,073.30/1,694.52
  6. Step 6: Final answer
    x = 1,423.46

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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.