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Finding the Fourth Proportional to 11,915.68, 16,449.06 and 7,668.76

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Solution

The fourth proportional to 11,915.68, 16,449.06 and 7,668.76 is: 10,586.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,915.68 : 16,449.06 = 7,668.76 : x
  2. Step 2: Convert to fraction form
    11,915.68/16,449.06 = 7,668.76/x
  3. Step 3: Cross multiply
    11,915.68x = 16,449.06 × 7,668.76
  4. Step 4: Simplify right side
    11,915.68x = 126,143,893.37
  5. Step 5: Solve for x
    x = 126,143,893.37/11,915.68
  6. Step 6: Final answer
    x = 10,586.38

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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.