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Finding the Fourth Proportional to 7,141.10, 10,692.41 and 5,819.45

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Solution

The fourth proportional to 7,141.10, 10,692.41 and 5,819.45 is: 8,713.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,141.10 : 10,692.41 = 5,819.45 : x
  2. Step 2: Convert to fraction form
    7,141.10/10,692.41 = 5,819.45/x
  3. Step 3: Cross multiply
    7,141.10x = 10,692.41 × 5,819.45
  4. Step 4: Simplify right side
    7,141.10x = 62,223,862.82
  5. Step 5: Solve for x
    x = 62,223,862.82/7,141.10
  6. Step 6: Final answer
    x = 8,713.49

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.