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Finding the Fourth Proportional to 11,715, 16,168.62 and 6,749.88

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Solution

The fourth proportional to 11,715, 16,168.62 and 6,749.88 is: 9,315.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,715 : 16,168.62 = 6,749.88 : x
  2. Step 2: Convert to fraction form
    11,715/16,168.62 = 6,749.88/x
  3. Step 3: Cross multiply
    11,715x = 16,168.62 × 6,749.88
  4. Step 4: Simplify right side
    11,715x = 109,136,244.77
  5. Step 5: Solve for x
    x = 109,136,244.77/11,715
  6. Step 6: Final answer
    x = 9,315.94

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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.