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Finding the Fourth Proportional to 13,610.94, 20,406.80 and 6,205.20

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Solution

The fourth proportional to 13,610.94, 20,406.80 and 6,205.20 is: 9,303.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,610.94 : 20,406.80 = 6,205.20 : x
  2. Step 2: Convert to fraction form
    13,610.94/20,406.80 = 6,205.20/x
  3. Step 3: Cross multiply
    13,610.94x = 20,406.80 × 6,205.20
  4. Step 4: Simplify right side
    13,610.94x = 126,628,275.36
  5. Step 5: Solve for x
    x = 126,628,275.36/13,610.94
  6. Step 6: Final answer
    x = 9,303.42

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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.