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Finding the Fourth Proportional to 11,178.80, 16,784.40 and 8,424.80

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Solution

The fourth proportional to 11,178.80, 16,784.40 and 8,424.80 is: 12,649.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,178.80 : 16,784.40 = 8,424.80 : x
  2. Step 2: Convert to fraction form
    11,178.80/16,784.40 = 8,424.80/x
  3. Step 3: Cross multiply
    11,178.80x = 16,784.40 × 8,424.80
  4. Step 4: Simplify right side
    11,178.80x = 141,405,213.12
  5. Step 5: Solve for x
    x = 141,405,213.12/11,178.80
  6. Step 6: Final answer
    x = 12,649.41

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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.