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Finding the Fourth Proportional to 11,899.05, 16,415.19 and 8,364.30

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Solution

The fourth proportional to 11,899.05, 16,415.19 and 8,364.30 is: 11,538.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,899.05 : 16,415.19 = 8,364.30 : x
  2. Step 2: Convert to fraction form
    11,899.05/16,415.19 = 8,364.30/x
  3. Step 3: Cross multiply
    11,899.05x = 16,415.19 × 8,364.30
  4. Step 4: Simplify right side
    11,899.05x = 137,301,573.72
  5. Step 5: Solve for x
    x = 137,301,573.72/11,899.05
  6. Step 6: Final answer
    x = 11,538.87

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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.