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Finding the Fourth Proportional to 14,709.92, 20,299.19 and 8,421.08

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Solution

The fourth proportional to 14,709.92, 20,299.19 and 8,421.08 is: 11,620.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,709.92 : 20,299.19 = 8,421.08 : x
  2. Step 2: Convert to fraction form
    14,709.92/20,299.19 = 8,421.08/x
  3. Step 3: Cross multiply
    14,709.92x = 20,299.19 × 8,421.08
  4. Step 4: Simplify right side
    14,709.92x = 170,941,174.73
  5. Step 5: Solve for x
    x = 170,941,174.73/14,709.92
  6. Step 6: Final answer
    x = 11,620.81

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.