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Finding the Fourth Proportional to 13,628.75, 20,443.14 and 5,420.75

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Solution

The fourth proportional to 13,628.75, 20,443.14 and 5,420.75 is: 8,131.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,628.75 : 20,443.14 = 5,420.75 : x
  2. Step 2: Convert to fraction form
    13,628.75/20,443.14 = 5,420.75/x
  3. Step 3: Cross multiply
    13,628.75x = 20,443.14 × 5,420.75
  4. Step 4: Simplify right side
    13,628.75x = 110,817,151.16
  5. Step 5: Solve for x
    x = 110,817,151.16/13,628.75
  6. Step 6: Final answer
    x = 8,131.13

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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.