Home / 2,906.42-4,010.89-1,580.12

Finding the Fourth Proportional to 2,906.42, 4,010.89 and 1,580.12

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Solution

The fourth proportional to 2,906.42, 4,010.89 and 1,580.12 is: 2,180.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,906.42 : 4,010.89 = 1,580.12 : x
  2. Step 2: Convert to fraction form
    2,906.42/4,010.89 = 1,580.12/x
  3. Step 3: Cross multiply
    2,906.42x = 4,010.89 × 1,580.12
  4. Step 4: Simplify right side
    2,906.42x = 6,337,674.67
  5. Step 5: Solve for x
    x = 6,337,674.67/2,906.42
  6. Step 6: Final answer
    x = 2,180.58

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.