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Finding the Fourth Proportional to 11,692.80, 16,136.64 and 6,657.12

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Solution

The fourth proportional to 11,692.80, 16,136.64 and 6,657.12 is: 9,187.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,692.80 : 16,136.64 = 6,657.12 : x
  2. Step 2: Convert to fraction form
    11,692.80/16,136.64 = 6,657.12/x
  3. Step 3: Cross multiply
    11,692.80x = 16,136.64 × 6,657.12
  4. Step 4: Simplify right side
    11,692.80x = 107,423,548.88
  5. Step 5: Solve for x
    x = 107,423,548.88/11,692.80
  6. Step 6: Final answer
    x = 9,187.15

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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.