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Finding the Fourth Proportional to 13,633.76, 20,429.76 and 9,174.89

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Solution

The fourth proportional to 13,633.76, 20,429.76 and 9,174.89 is: 13,748.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,633.76 : 20,429.76 = 9,174.89 : x
  2. Step 2: Convert to fraction form
    13,633.76/20,429.76 = 9,174.89/x
  3. Step 3: Cross multiply
    13,633.76x = 20,429.76 × 9,174.89
  4. Step 4: Simplify right side
    13,633.76x = 187,440,900.28
  5. Step 5: Solve for x
    x = 187,440,900.28/13,633.76
  6. Step 6: Final answer
    x = 13,748.29

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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.