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Finding the Fourth Proportional to 11,846.67, 16,328.91 and 8,398.40

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Solution

The fourth proportional to 11,846.67, 16,328.91 and 8,398.40 is: 11,575.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,846.67 : 16,328.91 = 8,398.40 : x
  2. Step 2: Convert to fraction form
    11,846.67/16,328.91 = 8,398.40/x
  3. Step 3: Cross multiply
    11,846.67x = 16,328.91 × 8,398.40
  4. Step 4: Simplify right side
    11,846.67x = 137,136,759.44
  5. Step 5: Solve for x
    x = 137,136,759.44/11,846.67
  6. Step 6: Final answer
    x = 11,575.97

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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.