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Finding the Fourth Proportional to 6,648.79, 9,175.29 and 3,664.63

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Solution

The fourth proportional to 6,648.79, 9,175.29 and 3,664.63 is: 5,057.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,648.79 : 9,175.29 = 3,664.63 : x
  2. Step 2: Convert to fraction form
    6,648.79/9,175.29 = 3,664.63/x
  3. Step 3: Cross multiply
    6,648.79x = 9,175.29 × 3,664.63
  4. Step 4: Simplify right side
    6,648.79x = 33,624,042.99
  5. Step 5: Solve for x
    x = 33,624,042.99/6,648.79
  6. Step 6: Final answer
    x = 5,057.17

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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.