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Finding the Fourth Proportional to 13,682.54, 20,523.78 and 7,835.08

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Solution

The fourth proportional to 13,682.54, 20,523.78 and 7,835.08 is: 11,752.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,682.54 : 20,523.78 = 7,835.08 : x
  2. Step 2: Convert to fraction form
    13,682.54/20,523.78 = 7,835.08/x
  3. Step 3: Cross multiply
    13,682.54x = 20,523.78 × 7,835.08
  4. Step 4: Simplify right side
    13,682.54x = 160,805,458.20
  5. Step 5: Solve for x
    x = 160,805,458.20/13,682.54
  6. Step 6: Final answer
    x = 11,752.60

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.