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Finding the Fourth Proportional to 14,007.68, 20,974.40 and 8,453.60

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Solution

The fourth proportional to 14,007.68, 20,974.40 and 8,453.60 is: 12,658.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,007.68 : 20,974.40 = 8,453.60 : x
  2. Step 2: Convert to fraction form
    14,007.68/20,974.40 = 8,453.60/x
  3. Step 3: Cross multiply
    14,007.68x = 20,974.40 × 8,453.60
  4. Step 4: Simplify right side
    14,007.68x = 177,309,187.84
  5. Step 5: Solve for x
    x = 177,309,187.84/14,007.68
  6. Step 6: Final answer
    x = 12,658.00

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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.