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Finding the Fourth Proportional to 13,544.85, 18,692.88 and 7,578.44

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Solution

The fourth proportional to 13,544.85, 18,692.88 and 7,578.44 is: 10,458.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,544.85 : 18,692.88 = 7,578.44 : x
  2. Step 2: Convert to fraction form
    13,544.85/18,692.88 = 7,578.44/x
  3. Step 3: Cross multiply
    13,544.85x = 18,692.88 × 7,578.44
  4. Step 4: Simplify right side
    13,544.85x = 141,662,869.51
  5. Step 5: Solve for x
    x = 141,662,869.51/13,544.85
  6. Step 6: Final answer
    x = 10,458.80

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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.