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Finding the Fourth Proportional to 11,894.67, 16,415.33 and 8,118.45

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Solution

The fourth proportional to 11,894.67, 16,415.33 and 8,118.45 is: 11,203.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,894.67 : 16,415.33 = 8,118.45 : x
  2. Step 2: Convert to fraction form
    11,894.67/16,415.33 = 8,118.45/x
  3. Step 3: Cross multiply
    11,894.67x = 16,415.33 × 8,118.45
  4. Step 4: Simplify right side
    11,894.67x = 133,266,995.25
  5. Step 5: Solve for x
    x = 133,266,995.25/11,894.67
  6. Step 6: Final answer
    x = 11,203.93

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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.