Home / 2,590.42-3,882.16-945.40

Finding the Fourth Proportional to 2,590.42, 3,882.16 and 945.40

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Solution

The fourth proportional to 2,590.42, 3,882.16 and 945.40 is: 1,416.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,590.42 : 3,882.16 = 945.40 : x
  2. Step 2: Convert to fraction form
    2,590.42/3,882.16 = 945.40/x
  3. Step 3: Cross multiply
    2,590.42x = 3,882.16 × 945.40
  4. Step 4: Simplify right side
    2,590.42x = 3,670,194.06
  5. Step 5: Solve for x
    x = 3,670,194.06/2,590.42
  6. Step 6: Final answer
    x = 1,416.83

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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.