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Finding the Fourth Proportional to 13,485.20, 20,179.20 and 9,111.20

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Solution

The fourth proportional to 13,485.20, 20,179.20 and 9,111.20 is: 13,633.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,485.20 : 20,179.20 = 9,111.20 : x
  2. Step 2: Convert to fraction form
    13,485.20/20,179.20 = 9,111.20/x
  3. Step 3: Cross multiply
    13,485.20x = 20,179.20 × 9,111.20
  4. Step 4: Simplify right side
    13,485.20x = 183,856,727.04
  5. Step 5: Solve for x
    x = 183,856,727.04/13,485.20
  6. Step 6: Final answer
    x = 13,633.96

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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.