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Finding the Fourth Proportional to 13,672.35, 20,509.20 and 7,111.35

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Solution

The fourth proportional to 13,672.35, 20,509.20 and 7,111.35 is: 10,667.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,672.35 : 20,509.20 = 7,111.35 : x
  2. Step 2: Convert to fraction form
    13,672.35/20,509.20 = 7,111.35/x
  3. Step 3: Cross multiply
    13,672.35x = 20,509.20 × 7,111.35
  4. Step 4: Simplify right side
    13,672.35x = 145,848,099.42
  5. Step 5: Solve for x
    x = 145,848,099.42/13,672.35
  6. Step 6: Final answer
    x = 10,667.38

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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.