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Finding the Fourth Proportional to 7,816.80, 11,692.80 and 6,650.40

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Solution

The fourth proportional to 7,816.80, 11,692.80 and 6,650.40 is: 9,948.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,816.80 : 11,692.80 = 6,650.40 : x
  2. Step 2: Convert to fraction form
    7,816.80/11,692.80 = 6,650.40/x
  3. Step 3: Cross multiply
    7,816.80x = 11,692.80 × 6,650.40
  4. Step 4: Simplify right side
    7,816.80x = 77,761,797.12
  5. Step 5: Solve for x
    x = 77,761,797.12/7,816.80
  6. Step 6: Final answer
    x = 9,948.03

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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.