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Finding the Fourth Proportional to 2,590.39, 3,886.17 and 859

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Solution

The fourth proportional to 2,590.39, 3,886.17 and 859 is: 1,288.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,590.39 : 3,886.17 = 859 : x
  2. Step 2: Convert to fraction form
    2,590.39/3,886.17 = 859/x
  3. Step 3: Cross multiply
    2,590.39x = 3,886.17 × 859
  4. Step 4: Simplify right side
    2,590.39x = 3,338,220.03
  5. Step 5: Solve for x
    x = 3,338,220.03/2,590.39
  6. Step 6: Final answer
    x = 1,288.69

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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.