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Finding the Fourth Proportional to 15,137.25, 20,889.50 and 8,513.25

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Solution

The fourth proportional to 15,137.25, 20,889.50 and 8,513.25 is: 11,748.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,137.25 : 20,889.50 = 8,513.25 : x
  2. Step 2: Convert to fraction form
    15,137.25/20,889.50 = 8,513.25/x
  3. Step 3: Cross multiply
    15,137.25x = 20,889.50 × 8,513.25
  4. Step 4: Simplify right side
    15,137.25x = 177,837,493.31
  5. Step 5: Solve for x
    x = 177,837,493.31/15,137.25
  6. Step 6: Final answer
    x = 11,748.34

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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.