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Finding the Fourth Proportional to 11,429.92, 17,122.74 and 6,484.60

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Solution

The fourth proportional to 11,429.92, 17,122.74 and 6,484.60 is: 9,714.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,429.92 : 17,122.74 = 6,484.60 : x
  2. Step 2: Convert to fraction form
    11,429.92/17,122.74 = 6,484.60/x
  3. Step 3: Cross multiply
    11,429.92x = 17,122.74 × 6,484.60
  4. Step 4: Simplify right side
    11,429.92x = 111,034,119.80
  5. Step 5: Solve for x
    x = 111,034,119.80/11,429.92
  6. Step 6: Final answer
    x = 9,714.34

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