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Finding the Fourth Proportional to 7,133.84, 10,692.12 and 3,669.20

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Solution

The fourth proportional to 7,133.84, 10,692.12 and 3,669.20 is: 5,499.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,133.84 : 10,692.12 = 3,669.20 : x
  2. Step 2: Convert to fraction form
    7,133.84/10,692.12 = 3,669.20/x
  3. Step 3: Cross multiply
    7,133.84x = 10,692.12 × 3,669.20
  4. Step 4: Simplify right side
    7,133.84x = 39,231,526.70
  5. Step 5: Solve for x
    x = 39,231,526.70/7,133.84
  6. Step 6: Final answer
    x = 5,499.36

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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.