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Finding the Fourth Proportional to 13,470.96, 20,200.80 and 7,935.44

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Solution

The fourth proportional to 13,470.96, 20,200.80 and 7,935.44 is: 11,899.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,470.96 : 20,200.80 = 7,935.44 : x
  2. Step 2: Convert to fraction form
    13,470.96/20,200.80 = 7,935.44/x
  3. Step 3: Cross multiply
    13,470.96x = 20,200.80 × 7,935.44
  4. Step 4: Simplify right side
    13,470.96x = 160,302,236.35
  5. Step 5: Solve for x
    x = 160,302,236.35/13,470.96
  6. Step 6: Final answer
    x = 11,899.84

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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.