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Finding the Fourth Proportional to 1,687, 2,519.42 and 1,456.36

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Solution

The fourth proportional to 1,687, 2,519.42 and 1,456.36 is: 2,174.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,687 : 2,519.42 = 1,456.36 : x
  2. Step 2: Convert to fraction form
    1,687/2,519.42 = 1,456.36/x
  3. Step 3: Cross multiply
    1,687x = 2,519.42 × 1,456.36
  4. Step 4: Simplify right side
    1,687x = 3,669,182.51
  5. Step 5: Solve for x
    x = 3,669,182.51/1,687
  6. Step 6: Final answer
    x = 2,174.97

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.