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Finding the Fourth Proportional to 13,709.68, 18,901.68 and 11,189.20

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Solution

The fourth proportional to 13,709.68, 18,901.68 and 11,189.20 is: 15,426.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,709.68 : 18,901.68 = 11,189.20 : x
  2. Step 2: Convert to fraction form
    13,709.68/18,901.68 = 11,189.20/x
  3. Step 3: Cross multiply
    13,709.68x = 18,901.68 × 11,189.20
  4. Step 4: Simplify right side
    13,709.68x = 211,494,677.86
  5. Step 5: Solve for x
    x = 211,494,677.86/13,709.68
  6. Step 6: Final answer
    x = 15,426.67

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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.