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Finding the Fourth Proportional to 25,692.82, 38,535.72 and 7,680.80

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Solution

The fourth proportional to 25,692.82, 38,535.72 and 7,680.80 is: 11,520.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,692.82 : 38,535.72 = 7,680.80 : x
  2. Step 2: Convert to fraction form
    25,692.82/38,535.72 = 7,680.80/x
  3. Step 3: Cross multiply
    25,692.82x = 38,535.72 × 7,680.80
  4. Step 4: Simplify right side
    25,692.82x = 295,985,158.18
  5. Step 5: Solve for x
    x = 295,985,158.18/25,692.82
  6. Step 6: Final answer
    x = 11,520.15

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.