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Finding the Fourth Proportional to 13,678.92, 20,527.02 and 7,846.92

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Solution

The fourth proportional to 13,678.92, 20,527.02 and 7,846.92 is: 11,775.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,678.92 : 20,527.02 = 7,846.92 : x
  2. Step 2: Convert to fraction form
    13,678.92/20,527.02 = 7,846.92/x
  3. Step 3: Cross multiply
    13,678.92x = 20,527.02 × 7,846.92
  4. Step 4: Simplify right side
    13,678.92x = 161,073,883.78
  5. Step 5: Solve for x
    x = 161,073,883.78/13,678.92
  6. Step 6: Final answer
    x = 11,775.34

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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.