Home / 2,961.63-4,086.48-1,782.78

Finding the Fourth Proportional to 2,961.63, 4,086.48 and 1,782.78

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Solution

The fourth proportional to 2,961.63, 4,086.48 and 1,782.78 is: 2,459.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,961.63 : 4,086.48 = 1,782.78 : x
  2. Step 2: Convert to fraction form
    2,961.63/4,086.48 = 1,782.78/x
  3. Step 3: Cross multiply
    2,961.63x = 4,086.48 × 1,782.78
  4. Step 4: Simplify right side
    2,961.63x = 7,285,294.81
  5. Step 5: Solve for x
    x = 7,285,294.81/2,961.63
  6. Step 6: Final answer
    x = 2,459.89

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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.