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Finding the Fourth Proportional to 13,993.80, 20,984.40 and 4,129.68

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Solution

The fourth proportional to 13,993.80, 20,984.40 and 4,129.68 is: 6,192.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,993.80 : 20,984.40 = 4,129.68 : x
  2. Step 2: Convert to fraction form
    13,993.80/20,984.40 = 4,129.68/x
  3. Step 3: Cross multiply
    13,993.80x = 20,984.40 × 4,129.68
  4. Step 4: Simplify right side
    13,993.80x = 86,658,856.99
  5. Step 5: Solve for x
    x = 86,658,856.99/13,993.80
  6. Step 6: Final answer
    x = 6,192.66

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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.