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Finding the Fourth Proportional to 8,322.65, 11,489.48 and 6,429.98

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Solution

The fourth proportional to 8,322.65, 11,489.48 and 6,429.98 is: 8,876.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,322.65 : 11,489.48 = 6,429.98 : x
  2. Step 2: Convert to fraction form
    8,322.65/11,489.48 = 6,429.98/x
  3. Step 3: Cross multiply
    8,322.65x = 11,489.48 × 6,429.98
  4. Step 4: Simplify right side
    8,322.65x = 73,877,147.30
  5. Step 5: Solve for x
    x = 73,877,147.30/8,322.65
  6. Step 6: Final answer
    x = 8,876.64

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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.