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Finding the Fourth Proportional to 9,128.20, 13,692.30 and 5,229.40

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Solution

The fourth proportional to 9,128.20, 13,692.30 and 5,229.40 is: 7,844.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,128.20 : 13,692.30 = 5,229.40 : x
  2. Step 2: Convert to fraction form
    9,128.20/13,692.30 = 5,229.40/x
  3. Step 3: Cross multiply
    9,128.20x = 13,692.30 × 5,229.40
  4. Step 4: Simplify right side
    9,128.20x = 71,602,513.62
  5. Step 5: Solve for x
    x = 71,602,513.62/9,128.20
  6. Step 6: Final answer
    x = 7,844.10

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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.