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Finding the Fourth Proportional to 13,150.80, 19,726.20 and 10,213.20

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Solution

The fourth proportional to 13,150.80, 19,726.20 and 10,213.20 is: 15,319.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,150.80 : 19,726.20 = 10,213.20 : x
  2. Step 2: Convert to fraction form
    13,150.80/19,726.20 = 10,213.20/x
  3. Step 3: Cross multiply
    13,150.80x = 19,726.20 × 10,213.20
  4. Step 4: Simplify right side
    13,150.80x = 201,467,625.84
  5. Step 5: Solve for x
    x = 201,467,625.84/13,150.80
  6. Step 6: Final answer
    x = 15,319.80

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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.