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Finding the Fourth Proportional to 5,128.76, 7,692.04 and 1,619.04

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Solution

The fourth proportional to 5,128.76, 7,692.04 and 1,619.04 is: 2,428.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,128.76 : 7,692.04 = 1,619.04 : x
  2. Step 2: Convert to fraction form
    5,128.76/7,692.04 = 1,619.04/x
  3. Step 3: Cross multiply
    5,128.76x = 7,692.04 × 1,619.04
  4. Step 4: Simplify right side
    5,128.76x = 12,453,729.43
  5. Step 5: Solve for x
    x = 12,453,729.43/5,128.76
  6. Step 6: Final answer
    x = 2,428.21

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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.