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Finding the Fourth Proportional to 15,078.82, 20,808.43 and 8,364.30

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Solution

The fourth proportional to 15,078.82, 20,808.43 and 8,364.30 is: 11,542.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,078.82 : 20,808.43 = 8,364.30 : x
  2. Step 2: Convert to fraction form
    15,078.82/20,808.43 = 8,364.30/x
  3. Step 3: Cross multiply
    15,078.82x = 20,808.43 × 8,364.30
  4. Step 4: Simplify right side
    15,078.82x = 174,047,951.05
  5. Step 5: Solve for x
    x = 174,047,951.05/15,078.82
  6. Step 6: Final answer
    x = 11,542.54

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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.