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Finding the Fourth Proportional to 11,752.72, 16,215.97 and 6,648.35

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Solution

The fourth proportional to 11,752.72, 16,215.97 and 6,648.35 is: 9,173.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,752.72 : 16,215.97 = 6,648.35 : x
  2. Step 2: Convert to fraction form
    11,752.72/16,215.97 = 6,648.35/x
  3. Step 3: Cross multiply
    11,752.72x = 16,215.97 × 6,648.35
  4. Step 4: Simplify right side
    11,752.72x = 107,809,514.44
  5. Step 5: Solve for x
    x = 107,809,514.44/11,752.72
  6. Step 6: Final answer
    x = 9,173.15

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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.