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Finding the Fourth Proportional to 7,022.80, 9,692.10 and 3,880

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Solution

The fourth proportional to 7,022.80, 9,692.10 and 3,880 is: 5,354.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,022.80 : 9,692.10 = 3,880 : x
  2. Step 2: Convert to fraction form
    7,022.80/9,692.10 = 3,880/x
  3. Step 3: Cross multiply
    7,022.80x = 9,692.10 × 3,880
  4. Step 4: Simplify right side
    7,022.80x = 37,605,348
  5. Step 5: Solve for x
    x = 37,605,348/7,022.80
  6. Step 6: Final answer
    x = 5,354.75

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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.