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Finding the Fourth Proportional to 11,704.10, 16,151.81 and 6,398.90

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Solution

The fourth proportional to 11,704.10, 16,151.81 and 6,398.90 is: 8,830.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,704.10 : 16,151.81 = 6,398.90 : x
  2. Step 2: Convert to fraction form
    11,704.10/16,151.81 = 6,398.90/x
  3. Step 3: Cross multiply
    11,704.10x = 16,151.81 × 6,398.90
  4. Step 4: Simplify right side
    11,704.10x = 103,353,873.39
  5. Step 5: Solve for x
    x = 103,353,873.39/11,704.10
  6. Step 6: Final answer
    x = 8,830.57

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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.