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Finding the Fourth Proportional to 6,551.65, 9,828.29 and 2,109.61

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Solution

The fourth proportional to 6,551.65, 9,828.29 and 2,109.61 is: 3,164.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,551.65 : 9,828.29 = 2,109.61 : x
  2. Step 2: Convert to fraction form
    6,551.65/9,828.29 = 2,109.61/x
  3. Step 3: Cross multiply
    6,551.65x = 9,828.29 × 2,109.61
  4. Step 4: Simplify right side
    6,551.65x = 20,733,858.87
  5. Step 5: Solve for x
    x = 20,733,858.87/6,551.65
  6. Step 6: Final answer
    x = 3,164.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.