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Finding the Fourth Proportional to 13,768.65, 20,655.14 and 8,228.25

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Solution

The fourth proportional to 13,768.65, 20,655.14 and 8,228.25 is: 12,343.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,768.65 : 20,655.14 = 8,228.25 : x
  2. Step 2: Convert to fraction form
    13,768.65/20,655.14 = 8,228.25/x
  3. Step 3: Cross multiply
    13,768.65x = 20,655.14 × 8,228.25
  4. Step 4: Simplify right side
    13,768.65x = 169,955,614.56
  5. Step 5: Solve for x
    x = 169,955,614.56/13,768.65
  6. Step 6: Final answer
    x = 12,343.67

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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.