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Finding the Fourth Proportional to 5,142.84, 7,692.22 and 4,769.34

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Solution

The fourth proportional to 5,142.84, 7,692.22 and 4,769.34 is: 7,133.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,142.84 : 7,692.22 = 4,769.34 : x
  2. Step 2: Convert to fraction form
    5,142.84/7,692.22 = 4,769.34/x
  3. Step 3: Cross multiply
    5,142.84x = 7,692.22 × 4,769.34
  4. Step 4: Simplify right side
    5,142.84x = 36,686,812.53
  5. Step 5: Solve for x
    x = 36,686,812.53/5,142.84
  6. Step 6: Final answer
    x = 7,133.57

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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.