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Finding the Fourth Proportional to 9,825.13, 14,709.29 and 8,811.09

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Solution

The fourth proportional to 9,825.13, 14,709.29 and 8,811.09 is: 13,191.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,825.13 : 14,709.29 = 8,811.09 : x
  2. Step 2: Convert to fraction form
    9,825.13/14,709.29 = 8,811.09/x
  3. Step 3: Cross multiply
    9,825.13x = 14,709.29 × 8,811.09
  4. Step 4: Simplify right side
    9,825.13x = 129,604,833.97
  5. Step 5: Solve for x
    x = 129,604,833.97/9,825.13
  6. Step 6: Final answer
    x = 13,191.16

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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.