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Finding the Fourth Proportional to 13,506.55, 20,221.68 and 7,167.08

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Solution

The fourth proportional to 13,506.55, 20,221.68 and 7,167.08 is: 10,730.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,506.55 : 20,221.68 = 7,167.08 : x
  2. Step 2: Convert to fraction form
    13,506.55/20,221.68 = 7,167.08/x
  3. Step 3: Cross multiply
    13,506.55x = 20,221.68 × 7,167.08
  4. Step 4: Simplify right side
    13,506.55x = 144,930,475.73
  5. Step 5: Solve for x
    x = 144,930,475.73/13,506.55
  6. Step 6: Final answer
    x = 10,730.39

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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.