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Finding the Fourth Proportional to 11,720.52, 16,176.42 and 7,005.24

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Solution

The fourth proportional to 11,720.52, 16,176.42 and 7,005.24 is: 9,668.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,720.52 : 16,176.42 = 7,005.24 : x
  2. Step 2: Convert to fraction form
    11,720.52/16,176.42 = 7,005.24/x
  3. Step 3: Cross multiply
    11,720.52x = 16,176.42 × 7,005.24
  4. Step 4: Simplify right side
    11,720.52x = 113,319,704.44
  5. Step 5: Solve for x
    x = 113,319,704.44/11,720.52
  6. Step 6: Final answer
    x = 9,668.49

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.