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Finding the Fourth Proportional to 13,489.92, 20,235.49 and 9,774.45

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Solution

The fourth proportional to 13,489.92, 20,235.49 and 9,774.45 is: 14,662.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,489.92 : 20,235.49 = 9,774.45 : x
  2. Step 2: Convert to fraction form
    13,489.92/20,235.49 = 9,774.45/x
  3. Step 3: Cross multiply
    13,489.92x = 20,235.49 × 9,774.45
  4. Step 4: Simplify right side
    13,489.92x = 197,790,785.23
  5. Step 5: Solve for x
    x = 197,790,785.23/13,489.92
  6. Step 6: Final answer
    x = 14,662.12

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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.