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Finding the Fourth Proportional to 13,705.20, 20,509.20 and 9,331.20

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Solution

The fourth proportional to 13,705.20, 20,509.20 and 9,331.20 is: 13,963.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,705.20 : 20,509.20 = 9,331.20 : x
  2. Step 2: Convert to fraction form
    13,705.20/20,509.20 = 9,331.20/x
  3. Step 3: Cross multiply
    13,705.20x = 20,509.20 × 9,331.20
  4. Step 4: Simplify right side
    13,705.20x = 191,375,447.04
  5. Step 5: Solve for x
    x = 191,375,447.04/13,705.20
  6. Step 6: Final answer
    x = 13,963.71

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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.