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Finding the Fourth Proportional to 13,169.21, 19,754.43 and 7,321.42

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Solution

The fourth proportional to 13,169.21, 19,754.43 and 7,321.42 is: 10,982.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,169.21 : 19,754.43 = 7,321.42 : x
  2. Step 2: Convert to fraction form
    13,169.21/19,754.43 = 7,321.42/x
  3. Step 3: Cross multiply
    13,169.21x = 19,754.43 × 7,321.42
  4. Step 4: Simplify right side
    13,169.21x = 144,630,343.51
  5. Step 5: Solve for x
    x = 144,630,343.51/13,169.21
  6. Step 6: Final answer
    x = 10,982.46

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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.