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Finding the Fourth Proportional to 14,912, 20,578.56 and 8,628.02

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Solution

The fourth proportional to 14,912, 20,578.56 and 8,628.02 is: 11,906.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,912 : 20,578.56 = 8,628.02 : x
  2. Step 2: Convert to fraction form
    14,912/20,578.56 = 8,628.02/x
  3. Step 3: Cross multiply
    14,912x = 20,578.56 × 8,628.02
  4. Step 4: Simplify right side
    14,912x = 177,552,227.25
  5. Step 5: Solve for x
    x = 177,552,227.25/14,912
  6. Step 6: Final answer
    x = 11,906.67

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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.