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Finding the Fourth Proportional to 13,602.72, 18,771.12 and 8,012.64

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Solution

The fourth proportional to 13,602.72, 18,771.12 and 8,012.64 is: 11,057.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,602.72 : 18,771.12 = 8,012.64 : x
  2. Step 2: Convert to fraction form
    13,602.72/18,771.12 = 8,012.64/x
  3. Step 3: Cross multiply
    13,602.72x = 18,771.12 × 8,012.64
  4. Step 4: Simplify right side
    13,602.72x = 150,406,226.96
  5. Step 5: Solve for x
    x = 150,406,226.96/13,602.72
  6. Step 6: Final answer
    x = 11,057.07

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.