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Finding the Fourth Proportional to 9,857.21, 13,600.91 and 5,664.65

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Solution

The fourth proportional to 9,857.21, 13,600.91 and 5,664.65 is: 7,816.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,857.21 : 13,600.91 = 5,664.65 : x
  2. Step 2: Convert to fraction form
    9,857.21/13,600.91 = 5,664.65/x
  3. Step 3: Cross multiply
    9,857.21x = 13,600.91 × 5,664.65
  4. Step 4: Simplify right side
    9,857.21x = 77,044,340.99
  5. Step 5: Solve for x
    x = 77,044,340.99/9,857.21
  6. Step 6: Final answer
    x = 7,816.04

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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.