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Finding the Fourth Proportional to 11,417, 15,755.80 and 6,381.44

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Solution

The fourth proportional to 11,417, 15,755.80 and 6,381.44 is: 8,806.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,417 : 15,755.80 = 6,381.44 : x
  2. Step 2: Convert to fraction form
    11,417/15,755.80 = 6,381.44/x
  3. Step 3: Cross multiply
    11,417x = 15,755.80 × 6,381.44
  4. Step 4: Simplify right side
    11,417x = 100,544,692.35
  5. Step 5: Solve for x
    x = 100,544,692.35/11,417
  6. Step 6: Final answer
    x = 8,806.58

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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.