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Finding the Fourth Proportional to 12,179.68, 16,805.05 and 8,401.64

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Solution

The fourth proportional to 12,179.68, 16,805.05 and 8,401.64 is: 11,592.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,179.68 : 16,805.05 = 8,401.64 : x
  2. Step 2: Convert to fraction form
    12,179.68/16,805.05 = 8,401.64/x
  3. Step 3: Cross multiply
    12,179.68x = 16,805.05 × 8,401.64
  4. Step 4: Simplify right side
    12,179.68x = 141,189,875.25
  5. Step 5: Solve for x
    x = 141,189,875.25/12,179.68
  6. Step 6: Final answer
    x = 11,592.25

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.