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Finding the Fourth Proportional to 13,846.40, 20,769.60 and 9,691.10

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Solution

The fourth proportional to 13,846.40, 20,769.60 and 9,691.10 is: 14,536.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,846.40 : 20,769.60 = 9,691.10 : x
  2. Step 2: Convert to fraction form
    13,846.40/20,769.60 = 9,691.10/x
  3. Step 3: Cross multiply
    13,846.40x = 20,769.60 × 9,691.10
  4. Step 4: Simplify right side
    13,846.40x = 201,280,270.56
  5. Step 5: Solve for x
    x = 201,280,270.56/13,846.40
  6. Step 6: Final answer
    x = 14,536.65

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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.