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Finding the Fourth Proportional to 13,615.44, 20,383.76 and 7,976.08

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Solution

The fourth proportional to 13,615.44, 20,383.76 and 7,976.08 is: 11,941.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,615.44 : 20,383.76 = 7,976.08 : x
  2. Step 2: Convert to fraction form
    13,615.44/20,383.76 = 7,976.08/x
  3. Step 3: Cross multiply
    13,615.44x = 20,383.76 × 7,976.08
  4. Step 4: Simplify right side
    13,615.44x = 162,582,500.46
  5. Step 5: Solve for x
    x = 162,582,500.46/13,615.44
  6. Step 6: Final answer
    x = 11,941.04

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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.