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Finding the Fourth Proportional to 11,749.88, 16,216.27 and 6,781.88

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Solution

The fourth proportional to 11,749.88, 16,216.27 and 6,781.88 is: 9,359.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,749.88 : 16,216.27 = 6,781.88 : x
  2. Step 2: Convert to fraction form
    11,749.88/16,216.27 = 6,781.88/x
  3. Step 3: Cross multiply
    11,749.88x = 16,216.27 × 6,781.88
  4. Step 4: Simplify right side
    11,749.88x = 109,976,699.15
  5. Step 5: Solve for x
    x = 109,976,699.15/11,749.88
  6. Step 6: Final answer
    x = 9,359.82

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1.5x scale

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.