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Finding the Fourth Proportional to 4,887.64, 6,742.69 and 2,896.66

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Solution

The fourth proportional to 4,887.64, 6,742.69 and 2,896.66 is: 3,996.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,887.64 : 6,742.69 = 2,896.66 : x
  2. Step 2: Convert to fraction form
    4,887.64/6,742.69 = 2,896.66/x
  3. Step 3: Cross multiply
    4,887.64x = 6,742.69 × 2,896.66
  4. Step 4: Simplify right side
    4,887.64x = 19,531,297.90
  5. Step 5: Solve for x
    x = 19,531,297.90/4,887.64
  6. Step 6: Final answer
    x = 3,996.06

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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.