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Finding the Fourth Proportional to 9,834, 13,571.04 and 5,642.64

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Solution

The fourth proportional to 9,834, 13,571.04 and 5,642.64 is: 7,786.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,834 : 13,571.04 = 5,642.64 : x
  2. Step 2: Convert to fraction form
    9,834/13,571.04 = 5,642.64/x
  3. Step 3: Cross multiply
    9,834x = 13,571.04 × 5,642.64
  4. Step 4: Simplify right side
    9,834x = 76,576,493.15
  5. Step 5: Solve for x
    x = 76,576,493.15/9,834
  6. Step 6: Final answer
    x = 7,786.91

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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.