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Finding the Fourth Proportional to 11,899.70, 16,412.05 and 7,414.90

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Solution

The fourth proportional to 11,899.70, 16,412.05 and 7,414.90 is: 10,226.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,899.70 : 16,412.05 = 7,414.90 : x
  2. Step 2: Convert to fraction form
    11,899.70/16,412.05 = 7,414.90/x
  3. Step 3: Cross multiply
    11,899.70x = 16,412.05 × 7,414.90
  4. Step 4: Simplify right side
    11,899.70x = 121,693,709.55
  5. Step 5: Solve for x
    x = 121,693,709.55/11,899.70
  6. Step 6: Final answer
    x = 10,226.62

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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.