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Finding the Fourth Proportional to 13,613.85, 20,372.02 and 9,869.99

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Solution

The fourth proportional to 13,613.85, 20,372.02 and 9,869.99 is: 14,769.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,613.85 : 20,372.02 = 9,869.99 : x
  2. Step 2: Convert to fraction form
    13,613.85/20,372.02 = 9,869.99/x
  3. Step 3: Cross multiply
    13,613.85x = 20,372.02 × 9,869.99
  4. Step 4: Simplify right side
    13,613.85x = 201,071,507.14
  5. Step 5: Solve for x
    x = 201,071,507.14/13,613.85
  6. Step 6: Final answer
    x = 14,769.63

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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.