Home / 7,784.82-11,677.32-2,590.70

Finding the Fourth Proportional to 7,784.82, 11,677.32 and 2,590.70

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Solution

The fourth proportional to 7,784.82, 11,677.32 and 2,590.70 is: 3,886.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,784.82 : 11,677.32 = 2,590.70 : x
  2. Step 2: Convert to fraction form
    7,784.82/11,677.32 = 2,590.70/x
  3. Step 3: Cross multiply
    7,784.82x = 11,677.32 × 2,590.70
  4. Step 4: Simplify right side
    7,784.82x = 30,252,374.54
  5. Step 5: Solve for x
    x = 30,252,374.54/7,784.82
  6. Step 6: Final answer
    x = 3,886.07

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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.