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Finding the Fourth Proportional to 2,961.16, 4,086.74 and 1,782.16

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Solution

The fourth proportional to 2,961.16, 4,086.74 and 1,782.16 is: 2,459.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,961.16 : 4,086.74 = 1,782.16 : x
  2. Step 2: Convert to fraction form
    2,961.16/4,086.74 = 1,782.16/x
  3. Step 3: Cross multiply
    2,961.16x = 4,086.74 × 1,782.16
  4. Step 4: Simplify right side
    2,961.16x = 7,283,224.56
  5. Step 5: Solve for x
    x = 7,283,224.56/2,961.16
  6. Step 6: Final answer
    x = 2,459.58

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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.