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Finding the Fourth Proportional to 13,546, 18,692.96 and 7,578.22

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Solution

The fourth proportional to 13,546, 18,692.96 and 7,578.22 is: 10,457.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,546 : 18,692.96 = 7,578.22 : x
  2. Step 2: Convert to fraction form
    13,546/18,692.96 = 7,578.22/x
  3. Step 3: Cross multiply
    13,546x = 18,692.96 × 7,578.22
  4. Step 4: Simplify right side
    13,546x = 141,659,363.33
  5. Step 5: Solve for x
    x = 141,659,363.33/13,546
  6. Step 6: Final answer
    x = 10,457.65

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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.