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Finding the Fourth Proportional to 10,361.72, 14,299.18 and 5,646

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Solution

The fourth proportional to 10,361.72, 14,299.18 and 5,646 is: 7,791.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,361.72 : 14,299.18 = 5,646 : x
  2. Step 2: Convert to fraction form
    10,361.72/14,299.18 = 5,646/x
  3. Step 3: Cross multiply
    10,361.72x = 14,299.18 × 5,646
  4. Step 4: Simplify right side
    10,361.72x = 80,733,170.28
  5. Step 5: Solve for x
    x = 80,733,170.28/10,361.72
  6. Step 6: Final answer
    x = 7,791.48

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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.