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Finding the Fourth Proportional to 13,022.80, 19,501.80 and 10,430.80

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Solution

The fourth proportional to 13,022.80, 19,501.80 and 10,430.80 is: 15,620.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,022.80 : 19,501.80 = 10,430.80 : x
  2. Step 2: Convert to fraction form
    13,022.80/19,501.80 = 10,430.80/x
  3. Step 3: Cross multiply
    13,022.80x = 19,501.80 × 10,430.80
  4. Step 4: Simplify right side
    13,022.80x = 203,419,375.44
  5. Step 5: Solve for x
    x = 203,419,375.44/13,022.80
  6. Step 6: Final answer
    x = 15,620.25

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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.