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Finding the Fourth Proportional to 12,764.81, 19,133.03 and 9,634.67

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Solution

The fourth proportional to 12,764.81, 19,133.03 and 9,634.67 is: 14,441.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,764.81 : 19,133.03 = 9,634.67 : x
  2. Step 2: Convert to fraction form
    12,764.81/19,133.03 = 9,634.67/x
  3. Step 3: Cross multiply
    12,764.81x = 19,133.03 × 9,634.67
  4. Step 4: Simplify right side
    12,764.81x = 184,340,286.31
  5. Step 5: Solve for x
    x = 184,340,286.31/12,764.81
  6. Step 6: Final answer
    x = 14,441.29

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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.