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Finding the Fourth Proportional to 1,678.03, 2,514.04 and 896.38

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Solution

The fourth proportional to 1,678.03, 2,514.04 and 896.38 is: 1,342.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,678.03 : 2,514.04 = 896.38 : x
  2. Step 2: Convert to fraction form
    1,678.03/2,514.04 = 896.38/x
  3. Step 3: Cross multiply
    1,678.03x = 2,514.04 × 896.38
  4. Step 4: Simplify right side
    1,678.03x = 2,253,535.18
  5. Step 5: Solve for x
    x = 2,253,535.18/1,678.03
  6. Step 6: Final answer
    x = 1,342.96

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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.