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Finding the Fourth Proportional to 15,137.75, 20,890.14 and 8,513.75

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Solution

The fourth proportional to 15,137.75, 20,890.14 and 8,513.75 is: 11,749.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,137.75 : 20,890.14 = 8,513.75 : x
  2. Step 2: Convert to fraction form
    15,137.75/20,890.14 = 8,513.75/x
  3. Step 3: Cross multiply
    15,137.75x = 20,890.14 × 8,513.75
  4. Step 4: Simplify right side
    15,137.75x = 177,853,429.43
  5. Step 5: Solve for x
    x = 177,853,429.43/15,137.75
  6. Step 6: Final answer
    x = 11,749.00

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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.